K. V. Shuddhodan

activity

20182026

collaborators

5 papers

math.AG2026

Uniform stratified vanishing and equidistribution on $G_{m}^{d}$

Amadou Bah, K. V. Shuddhodan

We prove a uniform stratified generic vanishing theorem for perverse sheaves on $G_{m}^{d}$ over finite fields, with constants depending only on the dimension and on the compl…

math.AG2026

Néron--Severi groups of proper schemes over finite fields

K. V. Shuddhodan, V. Srinivas

Let $X$ be a proper reduced scheme over a finite field $k$ , let $ℓ$ be a prime different from $char k$ , and write $X = X \times_{k} k$ for its b…

math.AG2025

Generic vanishing on homogeneous spaces in arbitrary characteristic

Ankit Rai, K. V. Shuddhodan

Let $X$ be a proper homogeneous space for a connected algebraic group $G$ over an algebraically closed field. For locally closed smooth affine subvarieties $W, Z \subset X$ , we show…

math.AG2021

The Hrushovski-Lang-Weil estimates

K. V. Shuddhodan, Yakov Varshavsky

In this work we give a geometric proof of Hrushovski's generalization of the Lang-Weil estimates on the number of points in the intersection of a correspondence with the graph of F…

math.AG2018

Constraints on the cohomological correspondence associated to a self map