5 citations · 12 across the 11 of their papers we have counts for
12 papers
Artin vanishing along the -adic tower of an abelian variety
Ashutosh Roy Choudhury, K. V. Shuddhodan
Let be an abelian variety of dimension over an algebraically closed field and let be a prime invertible in the field. For every constructible -she…
Uniform stratified vanishing and equidistribution on
Amadou Bah, K. V. Shuddhodan
We prove a uniform stratified generic vanishing theorem for perverse sheaves on over finite fields, with constants depending only on the dimension and on the compl…
Néron--Severi groups of proper schemes over finite fields
K. V. Shuddhodan, V. Srinivas
Let be a proper reduced scheme over a finite field , let be a prime different from , and write for its b…
Generic vanishing on homogeneous spaces in arbitrary characteristic
Ankit Rai, K. V. Shuddhodan
Let be a proper homogeneous space for a connected algebraic group over an algebraically closed field. For locally closed smooth affine subvarieties , we show…
Perverse Filtrations via Brylinski-Radon transformations
Ankit Rai, K. V. Shuddhodan
In this article, we prove the -exactness of a Brylinski-Radon transformation taking values in sheaves on flag varieties. This implies several weak Lefschetz type results for coh…
Brylinski-Radon transformation in characteristic
Deepam Patel, K. V. Shuddhodan
In this article, we characterize the image of the Brylinski-Radon transform in characteristic via Beilinson's theory of singular supports. We also provide an alternate proof…
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…
Algebraic entropy for smooth projective varieties
K. V. Shuddhodan
We show that the spectral radius for the action of a self map of a smooth projective variety (over an arbitrary base field) on its -adic cohomology is achieved on the $f^…
The (non-uniform) Hrushovski-Lang-Weil estimates
K. V. Shuddhodan
In this article, we obtain a non-uniform version of Hrushovski's generalisation of the Lang-Weil estimates using geometric methods.
Constraints on the cohomological correspondence associated to a self map
K. V. Shuddhodan
In this article we establish some constraints on the eigenvalues for the action of a self map of a proper variety on its -adic cohomology. The essential ingredients are a tra…
Using Partial Transpose and Realignment to generate Local Unitary Invariants
Udaysinh T. Bhosale, K. V. Shuddhodan, Arul Lakshminarayan
Motivated by link transformations of lattice gauge theory, a method for generating local unitary invariants, especially for a system of qubits, has been pointed out in an earlier w…
Entanglement optimizing mixtures of two-qubit states
K. V. Shuddhodan, M. S. Ramkarthik, Arul Lakshminarayan
Entanglement in incoherent mixtures of pure states of two qubits is considered via the concurrence measure. A set of pure states is optimal if the concurrence for any mixture of th…