Zobrazeno 1 - 10
of 907
pro vyhledávání: '"García Elisa"'
Publikováno v:
Open Mathematics, Vol 16, Iss 1, Pp 1196-1203 (2018)
In this paper, we provide explicit generators for the Picard groups of cyclic Brauer-Severi varieties defined over the base field. In particular,we provide such generators for all Brauer-Severi surfaces. To produce these generators we use the theory
Externí odkaz:
https://doaj.org/article/908d985940a74f1880620097904bcf15
We characterise, in terms of Dixmier-Ohno invariants, the types of singularities that a plane quartic curve can have. We then use these results to obtain new criteria for determining the stable reduction types of non-hyperelliptic curves of genus 3.
Externí odkaz:
http://arxiv.org/abs/2401.13902
In this paper we make explicit the constants of Habegger and Pazuki's work from 2017 on bounding the discriminant of cyclic Galois CM fields corresponding to genus 2 curves with CM by them and potentially good reduction outside a predefined set of pr
Externí odkaz:
http://arxiv.org/abs/2311.13403
In this paper we determine the conductor exponent of non-special Ciani quartics at primes of potentially good reduction in terms of the Ciani invariants. As an intermediate step in order to do so, we provide a reconstruction algorithm to construct Ci
Externí odkaz:
http://arxiv.org/abs/2310.10416
Autor:
van Bommel, Raymond, Docking, Jordan, Dokchitser, Vladimir, Lercier, Reynald, García, Elisa Lorenzo
We give a conjectural characterisation of the stable reduction of plane quartics over local fields in terms of their Cayley octads. This results in p-adic criteria that efficiently give the stable reduction type amongst the 42 possible types, and whe
Externí odkaz:
http://arxiv.org/abs/2309.17381
Which integer sequences are sequences of generalized weights of a linear code? In this paper, we answer this question for linear block codes, rank-metric codes, and more generally for sum-rank metric codes. We do so under an existence assumption for
Externí odkaz:
http://arxiv.org/abs/2307.06595
This paper goes beyond Katz-Sarnak theory on the distribution of curves over finite fields according to their number of rational points, theoretically, experimentally and conjecturally. In particular, we give a formula for the limits of the moments m
Externí odkaz:
http://arxiv.org/abs/2303.17825
Autor:
Ionica, Sorina, Kiliçer, Pinar, Lauter, Kristin, García, Elisa Lorenzo, Mânzăţeanu, Adelina, Vincent, Christelle
In this paper we introduce a new problem called the Isogenous Embedding Problem (IEP). The existence of solutions to this problem is related to the primes of bad reduction of CM curves of genus $3$ and we can detect potentially good reduction in abse
Externí odkaz:
http://arxiv.org/abs/2212.14083