Search Results - Algebraic functions and function fields in algebraic geometry

Riemann–Roch spaces of the Hermitian function field with applications to algebraic geometry codes and low-discrepancy sequences: Riemann-Roch spaces of the Hermitian function field with applications to algebraic geometry codes and low-discrepancy sequences

Authors: Gottlieb Pirsic Gretchen L. Matthews Hiren Maharaj

Source: Journal of Pure and Applied Algebra. 195:261-280

Subject Terms: divisors, Algebra and Number Theory, Well-distributed sequences and other variations, Applications to coding theory and cryptography of arithmetic geometry, 0102 computer and information sciences, Algebraic functions and function fields in algebraic geometry, 0101 mathematics, floor of a divisor, 01 natural sciences, Geometric methods (including applications of algebraic geometry) applied to coding theory

File Description: application/xml

Access URL: https://zbmath.org/2136956
https://doi.org/10.1016/j.jpaa.2004.06.010
https://www.sciencedirect.com/science/article/pii/S0022404904001306
http://www.ces.clemson.edu/~gmatthe/LBasesRevision.pdf
http://www.sciencedirect.com/science/article/pii/S0022404904001306
https://core.ac.uk/display/82508601
https://dialnet.unirioja.es/servlet/articulo?codigo=1062110

On the automorphisms of generalized algebraic geometry codes

Authors: Engin Şenel Figen Öke

Source: Designs, Codes and Cryptography. 90:1369-1379

Subject Terms: Automorphism Groups Of Function Fields, generalized algebraic geometry codes, Code Automorphisms, Applications to coding theory and cryptography of arithmetic geometry, code automorphisms, 02 engineering and technology, Algebraic Function Fields, 01 natural sciences, automorphism groups of function fields, Automorphisms of curves, Generalized Algebraic Geometry Codes, 0202 electrical engineering, electronic engineering, information engineering, algebraic function fields, Algebraic functions and function fields in algebraic geometry, 0101 mathematics, geometric Goppa codes, Geometric Goppa Codes, Geometric methods (including applications of algebraic geometry) applied to coding theory

File Description: application/xml

Lifting iso-dual algebraic geometry codes.

Authors: Chara, María Podestá, Ricardo Quoos, Luciane et al.

Source: Designs, Codes & Cryptography; Oct2024, Vol. 92 Issue 10, p2743-2767, 25p

Subject Terms: ALGEBRAIC geometry, ALGEBRAIC codes, MAXIMAL functions, ALGEBRAIC fields, ALGEBRAIC functions

Computing Riemann–Roch Spaces in Algebraic Function Fields and Related Topics: Computing Riemann-Roch spaces in algebraic function fields and related topics.

Authors: Hess, F

Source: Journal of Symbolic Computation. 33:425-445

Subject Terms: Computational aspects of algebraic curves, Computational Mathematics, algorithm, Algebra and Number Theory, divisor reduction, Riemann-Roch theorems, Algebraic functions and function fields in algebraic geometry, 0101 mathematics, 01 natural sciences, Software, source code, etc. for problems pertaining to algebraic geometry

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A note on divisor class groups of degree zero of algebraic function fields over finite fields

Authors: Ferruh Özbudak

Source: Finite Fields and Their Applications. 9:129-133

Subject Terms: Algebra and Number Theory, Arithmetic theory of algebraic function fields, Applied Mathematics, Divisor class group, Algebraic function field, 01 natural sciences, Class groups, Theoretical Computer Science, Curves over finite and local fields, degree one place, Algebraic functions and function fields in algebraic geometry, divisor class group, 0101 mathematics, algebraic function field, Engineering(all), Curve with many points

File Description: application/xml

Access URL: https://zbmath.org/1891479
https://doi.org/10.1016/s1071-5797(02)00004-7
https://avesis.metu.edu.tr/yayin/1d5a80c2-3c71-47b3-a894-34264a475786/a-note-on-divisor-class-groups-of-degree-zero-of-algebraic-function-fields-over-finite-fields
https://www.sciencedirect.com/science/article/pii/S1071579702000047
https://www.sciencedirect.com/science/article/abs/pii/S1071579702000047

Witt equivalence of algebraic function fields over real closed fields

Authors: Przemysław Koprowski

Source: Mathematische Zeitschrift. 242:323-345

Subject Terms: real closed field, Witt ring, Harrison map, Algebraic theory of quadratic forms, Witt groups and rings, Algebraic functions and function fields in algebraic geometry, 0101 mathematics, algebraic function field, 01 natural sciences, Forms over real fields, Witt equivalence, tame equivalence

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007/s002090100336

A new construction of nonlinear codes via algebraic function fields

Authors: Liu, Shu Ma, Liming Wu, Ting-Yi et al.

Index Terms: Computer Science - Information Theory, text

URL: http://arxiv.org/abs/2208.14569

Elementary Abelianp-extensions of algebraic function fields: Elementary abelian \(p\)-extensions of algebraic function fields

Authors: Garcia, Arnaldo Sitchtenoth, Henning

Source: Manuscripta Mathematica. 72:67-79

Subject Terms: Computational aspects of algebraic curves, Arithmetic theory of algebraic function fields, number of rational points, gap number, characteristic \(p\), Riemann surfaces, Weierstrass points, gap sequences, genus, Article, 510.mathematics, Artin-Schreier theory, \(p\)-extensions of algebraic function fields, Algebraic functions and function fields in algebraic geometry, coding theory, Geometric methods (including applications of algebraic geometry) applied to coding theory

File Description: application/xml; image/jpeg; application/pdf

Access URL: https://zbmath.org/10230
https://doi.org/10.1007/bf02568266
https://link.springer.com/article/10.1007%2FBF02568266/metrics
https://link.springer.com/content/pdf/10.1007/BF02568266.pdf

Classification of Algebraic Function Fields with Divisor Class Number Two: Classification of algebraic function fields with divisor class number two

Authors: Dominique Le Brigand

Source: Finite Fields and Their Applications. 2:153-172

Subject Terms: divisor class number two, Algebra and Number Theory, Arithmetic theory of algebraic function fields, Applied Mathematics, Class numbers, class groups, discriminants, quadratic algebraic function fields, Algebraic functions and function fields in algebraic geometry, 0101 mathematics, 01 natural sciences, Engineering(all), Theoretical Computer Science

File Description: application/xml

Access URL: https://zbmath.org/1144281
https://doi.org/10.1006/ffta.1996.0010
https://core.ac.uk/display/82250678
https://www.sciencedirect.com/science/article/pii/S1071579796900106
https://www.sciencedirect.com/science/article/abs/pii/S1071579796900106

Combinatorics and Algebraic Statistics through Polyhedra

Authors: Deligeorgaki, Danai Solus, Liam, Associate professor Rhoades, Brendon, Professor

Contributors: Deligeorgaki, Danai Solus, Liam, Associate professor Rhoades, Brendon, Professor

Source: TRITA-SCI-FOU.

Subject Terms: polytopes, algebraic statistics, combinatorics, permutation, generating function, lattice points, convex geometry, Matematik, Mathematics

File Description: electronic

Access URL: https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-363931
https://kth.diva-portal.org/smash/get/diva2:1961783/FULLTEXT01.pdf

Locally recoverable codes in Hermitian function fields with certain types of divisors

Authors: Boran Kim

Source: AIMS Mathematics, Vol 7, Iss 6, Pp 9656-9667 (2022)

Subject Terms: algebraic geometry lrc code, hermitian function field, Mathematics, QA1-939

File Description: electronic resource

Relation: https://doaj.org/toc/2473-6988

Access URL: https://doaj.org/article/c972c8750df74a50ad070828ff84bb51

Higher derivations of algebraic function fields

Authors: Abu-Saymeh, Sadi

Subject Terms: Arithmetic theory of algebraic function fields, Taylor expansion, Algebraic functions and function fields in algebraic geometry, Morphisms of commutative rings, Modules of differentials, algebraic function field, higher derivations

File Description: application/xml

Access URL: https://zbmath.org/4089682

Quasi-equivalence of heights in algebraic function fields of one variable

Authors: Feng, Ruyong Feng, Shuang Shen, Li-Yong

Index Terms: Computer Science - Symbolic Computation, text

URL: http://arxiv.org/abs/2111.13025

On the birational section conjecture over function fields

Authors: Tyler, Michael Peter Saïdi, Mohamed

Contributors: Tyler, Michael Peter Saïdi, Mohamed

Subject Terms: 510, birational section conjecture, section conjecture, algebraic geometry, arithmetic geometry, diophantine geometry, number theory

Access URL: https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.739142

An Expression for the Superposition of General Algebraic Functions in Terms of Hypergeometric Series: An expression for the superposition of general algebraic functions in terms of hypergeometric series

Authors: Irina A. Antipova

Source: Siberian Mathematical Journal. 44:757-764

Subject Terms: algebraic function, Appell, Horn and Lauricella functions, multidimensional residue, Residues for several complex variables, Special integral transforms (Legendre, Hilbert, etc.), 0102 computer and information sciences, Algebraic functions and function fields in algebraic geometry, 0101 mathematics, 01 natural sciences, Mellin transform, hypergeometric series

File Description: application/xml

Access URL: https://zbmath.org/2007849
https://link.springer.com/article/10.1023/A%3A1025920316227

On a relation between GAG codes and AG codes

Authors: Senel, Engin Oke, Figen

Source: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 31, Iss 3, Pp 221-227 (2023)

Subject Terms: generalized algebraic geometry codes, Code Automorphisms, Applications to coding theory and cryptography of arithmetic geometry, code automorphisms, algebraic geometry codes, Algebraic Function Fields, Generalized Algebraic Geometry Codes, geometric goppa codes, QA1-939, Algebraic Geometry Codes, primary 94b27, algebraic function fields, Algebraic functions and function fields in algebraic geometry, geometric Goppa codes, secondary 14h05, 14g50, Mathematics, Geometric Goppa Codes, Geometric methods (including applications of algebraic geometry) applied to coding theory

File Description: application/xml

Access URL: https://doaj.org/article/99343565b8574036bb2fa41e812a562f

Algebraic functions with even monodromy

Authors: Gian Pietro Pirola Michela Artebani Artebani, Michela et al.

Contributors: Gian Pietro Pirola Michela Artebani Artebani, Michela et al.

Source: Proceedings of the American Mathematical Society. 133:331-341

Subject Terms: Monodromia, Coverings of curves, fundamental group, Primary 14H05, Secondary 14H30, 14H10, 01 natural sciences, covering, monodromy, algebraic curve, Riemann surfaces, Mathematics - Algebraic Geometry, gruppo alterno, FOS: Mathematics, Curve algebriche, meromorphic functions, Families, moduli of curves (algebraic), Algebraic functions and function fields in algebraic geometry, 0101 mathematics, Algebraic Geometry (math.AG)

File Description: application/xml; STAMPA

Access URL: https://www.ams.org/proc/2005-133-02/S0002-9939-04-07713-5/S0002-9939-04-07713-5.pdf
http://arxiv.org/abs/math/0312025
https://dialnet.unirioja.es/servlet/articulo?codigo=1098943
https://www.ams.org/journals/proc/2005-133-02/S0002-9939-04-07713-5/home.html
https://arxiv.org/pdf/math/0312025
https://documat.unirioja.es/servlet/articulo?codigo=1098943
https://www.arxiv-vanity.com/papers/math/0312025/
https://www.jstor.org/stable/4097934
https://hdl.handle.net/2434/23284
https://doi.org/10.1090/S0002-9939-04-07713-5
http://www.ams.org/proc/2005-133-02/S0002-9939-04-07713-5/S0002-9939-04-07713-5.pdf

Operator bases, S-matrices, and their partition functions

Authors: Henning, Brian Lu, Xiaochuan Melia, Tom et al.

Source: Journal of High Energy Physics. 2017(10)

Subject Terms: 5106 Nuclear and Plasma Physics (for-2020), 5107 Particle and High Energy Physics (for-2020), 4902 Mathematical Physics (for-2020), 49 Mathematical Sciences (for-2020), 51 Physical Sciences (for-2020), Effective Field Theories, Differential and Algebraic Geometry, Scattering Amplitudes, 0105 Mathematical Physics (for), 0202 Atomic, Molecular, Nuclear, Particle and Plasma Physics (for), 0206 Quantum Physics (for), Nuclear & Particles Physics (science-metrix), 4902 Mathematical physics (for-2020), 5106 Nuclear and plasma physics (for-2020), 5107 Particle and high energy physics (for-2020)

File Description: application/pdf

Access URL: https://escholarship.org/uc/item/31n0p4j4
https://escholarship.org/content/qt31n0p4j4/qt31n0p4j4.pdf

Blow-up algebras in Algebra, Geometry and Combinatorics

Authors: Cid Ruiz, Yairon

Contributors: University/Department: Universitat de Barcelona. Departament de Matemàtiques i Informàtica

Thesis Advisors: D'Andrea, Carlos, 1973-, Naranjo del Val, Juan Carlos

Source: TDX (Tesis Doctorals en Xarxa)

Subject Terms: Àlgebra commutativa, Álgebra conmutativa, Commutative algebra, Geometria algebraica, Geometría algebraica, Algebraic geometry, Combinatòria (Matemàtica), Combinatoria (Matemáticas), Combinations, Ciències Experimentals i Matemàtiques

File Description: application/pdf

Access URL: http://hdl.handle.net/10803/667768

Linear Complementary dual codes and Linear Complementary pairs of AG codes in function fields

Authors: Castellanos, Alonso S. Marques, Adler V. Quoos, Luciane

Index Terms: Mathematics - Algebraic Geometry, Computer Science - Information Theory, 94B05, 14G50, 11T71, 14H05, text

URL: http://arxiv.org/abs/2407.05845