Zobrazeno 1 - 10
of 60
pro vyhledávání: '"Srinivas, Vasudevan"'
It was recently proven by Esnault, Shusterman and the second named author, that the \'etale fundamental group of a connected smooth projective variety over an algebraically closed field $k$ is finitely presented. In this note, we extend this result t
Externí odkaz:
http://arxiv.org/abs/2303.11161
Publikováno v:
In Advances in Mathematics April 2024 441
We introduce a new obstruction to lifting smooth proper varieties in characteristic $p>0$ to characteristic $0$. It is based on Grothendieck's specialization homomorphism and the resulting discrete finiteness properties of \'etale fundamental groups.
Externí odkaz:
http://arxiv.org/abs/2106.08381
Let $p$ be a prime number, and let $k$ be an algebraically closed field of characteristic $p$. We show that the tame fundamental group of a smooth affine curve over $k$ is a projective profinite group. We prove that the fundamental group of a smooth
Externí odkaz:
http://arxiv.org/abs/2102.13424
Let $k$ be a field and let $\text{GW}(k)$ be the Grothendieck-Witt ring of virtual non-degenerate symmetric bilinear forms over $k$. We develop methods for computing the quadratic Euler characteristic $\chi(X/k)\in \text{GW}(k)$ for $X$ a smooth hype
Externí odkaz:
http://arxiv.org/abs/2101.00482
Autor:
Esnault, Hélène, Srinivas, Vasudevan
We prove that $\bar {\mathbb Q}_\ell$-local systems of bounded rank and ramification on a smooth variety $X$ defined over an algebraically closed field $k$ of characteristic $p\neq \ell$ are tamified outside of codimension $2$ by a finite separable c
Externí odkaz:
http://arxiv.org/abs/2008.09060
We show that bounding ramification at infinity bounds fierce ramification. This answers positively a question of Deligne posed to the first named author.
Comment: latex, 9 pages
Comment: latex, 9 pages
Externí odkaz:
http://arxiv.org/abs/1812.03404
Autor:
Esnault, Hélène, Srinivas, Vasudevan
We prove that the vanishing of the functoriality morphism for the \'etale fundamental group between smooth projective varieties over an algebraically closed field of characteristic $p>0$ forces the same property for the fundamental groups of stratifi
Externí odkaz:
http://arxiv.org/abs/1705.06249
Autor:
Srinivas, Vasudevan, Takagi, Shunsuke
An $F$-nilpotent local ring is a local ring $(R, \mathfrak{m})$ of prime characteristic defined by the nilpotence of the Frobenius action on its local cohomology modules $H^i_{\mathfrak{m}}(R)$. A singularity in characteristic zero is said to be of $
Externí odkaz:
http://arxiv.org/abs/1503.08772
Autor:
Esnault, Hélène, Srinivas, Vasudevan
Publikováno v:
Compositio Math. 152 (2016) 255-287
We show that there are no non-trivial stratified bundles over a smooth simply connected quasi-projective variety over the algebraic closure of a finite field, if the variety admits a normal projective compactification with boundary locus of codimensi
Externí odkaz:
http://arxiv.org/abs/1404.7838