Zobrazeno 1 - 10
of 350
pro vyhledávání: '"Voisin, Claire"'
Autor:
Voisin, Claire
We introduce and study the notion of universally defined cycles of smooth varieties of dimension $d$, and prove that they are given by polynomials in the Chern classes. A similar result is proved for universally defined cycles on products of smooth v
Externí odkaz:
http://arxiv.org/abs/2408.06893
Autor:
Benoist, Olivier, Voisin, Claire
We consider the problem of smoothing algebraic cycles with rational coefficients on smooth projective complex varieties up to homological equivalence. We show that a solution to this problem would be incompatible with the validity of the Hartshorne c
Externí odkaz:
http://arxiv.org/abs/2405.12620
Autor:
Kollár, János, Voisin, Claire
We prove in this paper the smoothability of cycles modulo rational equivalence in the Whitney range, that is, when the dimension is strictly smaller than the codimension. We introduce and study the class of cycles obtained as ``flat pushforwards of C
Externí odkaz:
http://arxiv.org/abs/2311.04714
Autor:
Voisin, Claire
We study the rank stratification for the differential of a Lagrangian fibration over a smooth basis. We also introduce and study the notion of Lagrangian morphism of vector bundles. As a consequence, we prove some of the vanishing, in the Chow groups
Externí odkaz:
http://arxiv.org/abs/2305.09396
Autor:
Voisin, Claire
We discuss two properties of an abelian variety, namely, being a direct summand in a product of Jacobians and the weaker property of being "split". We relate the first property to the integral Hodge conjecture for curve classes on abelian varieties.
Externí odkaz:
http://arxiv.org/abs/2212.03046
Autor:
Voisin, Claire
We prove that for any rationally connected threefold $X$, there exists a smooth projective surface $S$ and a family of $1$-cycles on $X$ parameterized by $S$, inducing an Abel-Jacobi isomorphism ${\rm Alb}(S)\cong J^3(X)$. This statement was previous
Externí odkaz:
http://arxiv.org/abs/2208.12557
Publikováno v:
J. Amer. Math. Soc. 37 (2024), 151-185
We prove that a hyper-K\"ahler fourfold satisfying a mild topological assumption is of K3$^{[2]}$ deformation type. This proves in particular a conjecture of O'Grady stating that hyper-K\"ahler fourfolds of K3$^{[2]}$ numerical type are of K3$^{[2]}$
Externí odkaz:
http://arxiv.org/abs/2201.08152