Search Results - "Brion, Michel"

Luna's Slice Theorem and applications.

Authors: Brion, Michel Kraft, Hanspeter Schwarz, Gerald W.

Source: Bulletin (New Series) of the American Mathematical Society; Oct2025, Vol. 62 Issue 4, p643-694, 52p

Subject Terms: TRANSFORMATION groups, ALGEBRAIC geometry, ORBIT method, LINEAR algebraic groups, LAYPERSONS, MATHEMATICS theorems

On models of algebraic group actions.

Authors: Brion, Michel

Source: Proceedings of the Indian Academy of Sciences: Mathematical Sciences; 2022, Vol. 132 Issue 2, p1-17, 17p

Minimal rational curves on generalized Bott–Samelson varieties.

Authors: Brion, Michel Kannan, S. Senthamarai

Source: Compositio Mathematica; Jan2021, Vol. 157 Issue 1, p122-153, 32p

Subject Terms: GENERALIZATION

Realizing algebraic groups as automorphism groups

Authors: Brion, Michel

Subject Terms: Mathematics, Algebraic geometry, Group theory and generalizations

Subject Geographic: Banff (Alta.)

File Description: 58 minutes; video/mp4

Relation: 15w5016: The Use of Linear Algebraic Groups in Geometry and Number Theory; BIRS Workshop Lecture Videos (Banff, Alta); BIRS-VIDEO-201509160900-Brion; BIRS-VIDEO-15w5016-14219; http://hdl.handle.net/2429/57244

Availability: http://hdl.handle.net/2429/57244

On linearization of line bundles

Authors: Brion, Michel

Subject Terms: Mathematics, Algebraic geometry, Combinatorics

Subject Geographic: Banff (Alta.)

File Description: 71 minutes; video/mp4

Relation: 14w5013: Convex Bodies and Representation Theory; BIRS Workshop Lecture Videos (Banff, Alta); BIRS-VIDEO-201402061033-Brion; BIRS-VIDEO-14w5013-7701; http://hdl.handle.net/2429/49799

Availability: http://hdl.handle.net/2429/49799

Poincaré duality and equivariant (co)homology: Poincaré duality and equivariant (co)homology.

Authors: Brion, Michel

Source: Michigan Math. J. 48, iss. 1 (2000), 77-92

Subject Terms: 14F43, Reflection and Coxeter groups (group-theoretic aspects), Equivariant homology and cohomology in algebraic topology, 0103 physical sciences, 20F55, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), 0101 mathematics, 14M15, Grassmannians, Schubert varieties, flag manifolds, 01 natural sciences, 55N91

File Description: application/xml; application/pdf

Access URL: https://zbmath.org/1700893
https://doi.org/10.1307/mmj/1030132709
https://core.ac.uk/display/22835482
https://projecteuclid.org/download/pdf_1/euclid.mmj/1030132709
https://projecteuclid.org/journals/michigan-mathematical-journal/volume-48/issue-1/Poincar%c3%a9-duality-and-equivariant-cohomology/10.1307/mmj/1030132709.full
http://projecteuclid.org/euclid.mmj/1030132709

Algebraic Groups.

Authors: Jakob, Konstantin

Source: Oberwolfach Reports; 2025, Vol. 22 Issue 2, p941-1004, 63p

Subject Terms: LINEAR algebraic groups, ALGEBRAIC geometry, ALGEBRAIC topology, NUMBER theory, REPRESENTATION theory, DIFFERENTIAL equations, ALGEBRAIC combinatorics

Homogeneous vector bundles over abelian varieties via representation theory.

Authors: Brion, Michel

Source: Representation Theory; 2/3/2020, Vol. 24, p85-114, 30p

Subject Terms: ABELIAN varieties, VECTOR bundles, REPRESENTATION theory, ABELIAN groups, ABELIAN categories, FUNDAMENTAL groups (Mathematics), SHEAF theory, AFFINE algebraic groups

Equivariant Intersection Cohomology of Semi-Stable Points

Authors: Brion, Michel Joshua, Roy

Source: American Journal of Mathematics, 1996 Jun 01. 118(3), 595-610.

Access URL: https://www.jstor.org/stable/25098480

Prime-to-p étale covers of algebraic groups and homogeneous spaces.

Authors: Brion, Michel Szamuely, Tamás

Source: Bulletin of the London Mathematical Society; Jun2013, Vol. 45 Issue 3, p602-612, 11p

Subject Terms: PRIME numbers, LINEAR algebraic groups, HOMOGENEOUS spaces, TOPOLOGICAL spaces, BRAUER groups, FUNDAMENTAL groups (Mathematics), MATHEMATICAL analysis

Homological dimension of isogeny categories of commutative algebraic groups.

Authors: Brion, Michel

Source: European Journal of Mathematics; Dec2019, Vol. 5 Issue 4, p1107-1138, 32p

On actions of connected algebraic groups

Authors: Brion, Michel

Subject Terms: Mathematics - Algebraic Geometry, FOS: Mathematics, 14L30, 14C22, 14M05, 20G07, 0101 mathematics, 01 natural sciences, Algebraic Geometry (math.AG)

Access URL: http://arxiv.org/abs/1412.1906

Which algebraic groups are Picard varieties?

Authors: Brion, Michel

Source: SCIENCE CHINA Mathematics; Mar2015, Vol. 58 Issue 3, p461-478, 18p

The equivariant cohomology ring of regular varieties

Authors: Brion, Michel Carrell, James

Source: Michigan Math. J. 52, iss. 1 (2004), 189-203

Subject Terms: 14F43, Group actions on varieties or schemes (quotients), 14L30, 14M15, 55N91, Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies), 01 natural sciences, equivariant cohomology, regular varieties, Peterson variety, Mathematics - Algebraic Geometry, FOS: Mathematics, Algebraic Topology (math.AT), Mathematics - Algebraic Topology, 0101 mathematics, Algebraic Geometry (math.AG), 14M17

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/abs/math/0211026
https://zbmath.org/2114464
https://doi.org/10.1307/mmj/1080837743
https://projecteuclid.org/journals/michigan-mathematical-journal/volume-52/issue-1/The-equivariant-cohomology-ring-of-regular-varieties/10.1307/mmj/1080837743.full
https://projecteuclid.org/download/pdf_1/euclid.mmj/1080837743
https://ui.adsabs.harvard.edu/abs/2002math.....11026B/abstract
https://www.math.ubc.ca/~carrell/MMJ.pdf
https://dialnet.unirioja.es/servlet/articulo?codigo=954984
http://projecteuclid.org/euclid.mmj/1080837743

Arrangement of hyperplanes, II: The Szenes formula and Eisenstein series: Arrangement of hyperplanes. II: The Szenes formula and Eisenstein series

Authors: Brion, Michel Vergne, Michèle

Source: Duke Math. J. 103, no. 2 (2000), 279-302

Subject Terms: Szenes' formula, Eisenstein series, Relations with arrangements of hyperplanes, 0103 physical sciences, arrangement of hyperplanes, 0101 mathematics, 11B68, 01 natural sciences, 32S22, 11M36

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/pdf/math/9903180v2.pdf
https://zbmath.org/1484735
https://doi.org/10.1215/s0012-7094-00-10325-0
https://webusers.imj-prg.fr/~michele.vergne/publications/hyperplane2.pdf
https://projecteuclid.org/journals/duke-mathematical-journal/volume-103/issue-2/Arrangement-of-hyperplanes-II--The-Szenes-formula-and-Eisenstein/10.1215/S0012-7094-00-10325-0.full
http://projecteuclid.org/euclid.dmj/1092749437

On Algebraic Semigroups and Monoids.

Authors: Brion, Michel

Source: Algebraic Monoids, Group Embeddings & Algebraic Combinatorics; 2014, p1-54, 54p

Contractions and flips for varieties with group action of small complexity

Authors: Brion, Michel Knop, Friedrich

Subject Terms: flipping birational morphisms, Homogeneous spaces and generalizations, Group actions on varieties or schemes (quotients), NE, complexity of action on algebraic variety, convex cone of effective one-cycles, Minimal model program (Mori theory, extremal rays), Rational and birational maps, equivariant completion

File Description: application/xml

Access URL: https://zbmath.org/770311

Factorization of certain birational morphisms

Authors: Brion, Michel

Subject Terms: Homogeneous spaces and generalizations, invariant subvariety, spherical variety, Group actions on varieties or schemes (quotients), Geometric invariant theory, singularities of invariant irreducible subvarieties, blow- up, Global theory and resolution of singularities (algebro-geometric aspects), factorization of birational morphisms, exceptional divisor, Rational and birational maps

File Description: application/xml

Access URL: https://zbmath.org/591032

Symplectic Resolutions for Conical Symplectic Varieties.

Authors: Brion, Michel Baohua Fu

Source: IMRN: International Mathematics Research Notices; 2015, Issue 12, p4335-4343, 9p

Subject Terms: SYMPLECTIC geometry, FREE resolutions (Algebra), NILPOTENT groups, SEMISIMPLE Lie groups, ISOMORPHISM (Mathematics), GRAPHICAL projection

On the automorphism group of a G-induced variety.

Authors: Nayek, Arpita Parameswaran, A. J. Saha, Pinakinath

Source: New York Journal of Mathematics; 2024, Vol. 30, p998-1023, 26p

Subject Terms: AUTOMORPHISM groups, BOREL subgroups, COMPLEX numbers, GROUP identity