A Fast Randomized Geometric Algorithm for Computing Riemann-Roch Spaces

We propose a probabilistic variant of Brill-Noether's algorithm for computing a basis of the Riemann-Roch space \(L(D)\) associated to a divisor \(D\) on a projective nodal plane curve \(\mathcal C\) over a sufficiently large perfect field \(k\). Our main result shows that this algorithm requir...

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Vydané v:	arXiv.org
Hlavní autori:	Aude Le Gluher, Pierre-Jean Spaenlehauer
Médium:	Paper
Jazyk:	English
Vydavateľské údaje:	Ithaca Cornell University Library, arXiv.org 19.10.2020
Predmet:	Algorithms Complexity Computation Computer algebra Curves Geometric algorithms Magma Set theory Statistical analysis Upper bounds
ISSN:	2331-8422
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