Arghya Pramanik

Algebraic geometry seminar

Day & Date: Monday, December 19, 2022.

Time: 4 pm.

Venue: Online talk at

Title: Seshadri constants over fields of characteristic zero

Speaker: Arghya Pramanik

Abstract:  Let X be a smooth projective variety defined over a field k of
characteristic 0 and let L be a nef line bundle defined over k. In this
talk, I will show that if x ∈ X is a k-rational point then the Seshadri
constant ε(X, L, x) over \bar{k} is the same as that over k. I will also
construct families of varieties whose global Seshadri constant ε(X) is
zero. I also discuss a result on the existence of a Seshadri curve with a
natural (and necessary) hypothesis. In a recent paper, Fulger and Murayama
have defined a new version of Seshadri constants for vector bundles in a
relative setting over algebraically closed fields. We generalize the
definition for a general field and show that our results on line bundles
are also true for vector bundles. This talk is based on joint work with
Shripad M. Garge.
Online talk at
Mon, December 19, 2022
Start Time
4:00pm IST
Created by
Fri, December 16, 2022 12:02pm IST