Zobrazeno 1 - 10
of 197
pro vyhledávání: '"Beauville, Arnaud"'
Autor:
Beauville, Arnaud
Publikováno v:
Comptes Rendus. Mathématique, Vol 359, Iss 7, Pp 871-872 (2021)
We exhibit a non-hyperelliptic curve $C$ of genus 3 such that the class of the Ceresa cycle $[C]-[-C]$ in the intermediate Jacobian of $JC$ is torsion.
Externí odkaz:
https://doaj.org/article/195ead2062a349f4a2c2e741d833028b
Autor:
Beauville, Arnaud, Liu, Jie
We discuss in this note the algebra H^0(X, Sym*TX) for a smooth complex projective variety X . We compute it in some simple examples, and give a sharp bound on its Krull dimension. Then we propose a conjectural characterization of non-uniruled projec
Externí odkaz:
http://arxiv.org/abs/2309.12888
Autor:
Beauville, Arnaud
For an even lattice L , the form v --> (v.v)/2 induces a quadratic form q on the (Z/2)-vector space L/2L . For the lattices associated to some particular root systems, we show that reduction mod. 2 induces a bijection between the roots of L and the v
Externí odkaz:
http://arxiv.org/abs/2208.12962
Autor:
Beauville, Arnaud
Let C be a curve of genus g, and G a finite group of automorphisms of C . We prove that for g > 20 the quotient JC/G has canonical singularities, hence Kodaira dimension 0. On the other hand we give examples of curves C with g < 5 for which JC/G is u
Externí odkaz:
http://arxiv.org/abs/2207.00884
Autor:
Beauville, Arnaud
We observe that a lemma used in the study of even sets of nodes on surfaces applies almost verbatim to prove a celebrated formula of Gauss on the 2-torsion of the class group of a quadratic field.
Comment: 2 references added
Comment: 2 references added
Externí odkaz:
http://arxiv.org/abs/2106.15667
Autor:
Beauville, Arnaud, Schoen, Chad
We exhibit a non-hyperelliptic curve C of genus 3 such that the class of the Ceresa cycle [C]-[(-1)*C] in JC modulo algebraic equivalence is torsion.
Comment: Minor changes. To appear in IMRN
Comment: Minor changes. To appear in IMRN
Externí odkaz:
http://arxiv.org/abs/2106.08390
Autor:
Beauville, Arnaud
A family of K3 surfaces $\mathscr{X}\rightarrow B$ has the \emph{Franchetta property} if the Chow group of 0-cycles on the generic fiber is cyclic. The generalized Franchetta conjecture proposed by O'Grady asserts that the universal family $\mathscr{
Externí odkaz:
http://arxiv.org/abs/2012.03332
Autor:
Beauville, Arnaud
Let X be a Fano threefold, and let S be a K3 surface in X . Any moduli space M of simple vector bundles on S carries a holomorphic symplectic structure. Following an idea of Tyurin, we show that in some cases, those vector bundles which come from X f
Externí odkaz:
http://arxiv.org/abs/1906.03594
Autor:
Beauville, Arnaud
We observe that the proof of the Bogomolov stable restriction theorem can be adapted to give an ampleness criterion for globally generated rank 2 vector bundles on certain surfaces. This applies to the Lazarsfeld-Mukai bundles, to congruences of line
Externí odkaz:
http://arxiv.org/abs/1806.00243
Autor:
Beauville, Arnaud
Publikováno v:
Ãpijournal de Géométrie Algébrique, Volume 2 (November 1, 2018) epiga:4454
We attempt to describe the rank 2 vector bundles on a curve C which are specializations of the trivial bundle. We get a complete classifications when C is Brill-Noether generic, or when it is hyperelliptic; in both cases all limit vector bundles are
Externí odkaz:
http://arxiv.org/abs/1712.07597