Y. Pandey

activity

20092026

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7 papers · 1 filter

math.AG2026

Bruhat-Tits group schemes over higher dimensional base-II

Vikraman Balaji, Yashonidhi Pandey

We prove that split reductive BT group schemes over a higher dimensional base are {\em affine}. Our method also gives a new construction of higher BT-group schemes more general tha…

math.AG2025

Conformal blocks, parahoric torsors and Borel-Weil-Bott

V. Balaji, Y. Pandey

Let $X$ be a smooth projective curve over an algebraically closed field $k$ . Let $G$ be a parahoric group scheme on $X$ as in \cite{pr}. Via the principle of Hecke corres…

math.AG2021

On homomorphisms of $π_{1} (P^{1} - R)$ into compact semisimple groups

Vikraman Balaji, Yashonidhi Pandey

The aim of this paper is to give verifiable criteria for the existence of {\em irreducible} homomorphisms of $π_{1} (P^{1} - R)$ into compact semisimple groups, for a…

math.AG2019

Brauer group of punctual Quot scheme of points on a smooth projective surface

A. J. Parameswaran, Yashonidhi Pandey

Let $X$ be a smooth projective surface over an algebraically closed field $k$ such that $c ha r (k) \neq = 2$ . Let $X^{[d]}$ denote the punctual Hilbert scheme of zero dimensional quoti…

math.AG2019

Etale Fundamental group of moduli of torsors under Bruhat-Tits group scheme over a curve

A. J. Parameswaran, Yashonidhi Pandey

Let $X$ be a smooth projective curve over an algebraically closed field $k$ . Let $G$ be a Bruhat-Tits group scheme on $X$ which is generically semi-simple and trivial. We…

math.AG2009

Prym Subvarieties of Jacobians via Schur correspondances between curves

Yashonidhi Pandey

Let $π : Z \to X$ be Galois cover of smooth projective curves with Galois group $W$ a Weyl group of a simple Lie group $G$ . For a dominant weight $λ$ , we consider the intermediate c…