# Seshadri constants on surfaces with Picard number 1

Research paper by Krishna Hanumanthu

Indexed on: 10 Nov '16Published on: 17 Oct '16Published in: Manuscripta Mathematica

#### Abstract

Abstract Let X be a smooth projective surface with Picard number 1. Let L be the ample generator of the Néron–Severi group of X. Given an integer $$r\ge 2$$ , we prove lower bounds for the Seshadri constant of L at r very general points in X.AbstractLet X be a smooth projective surface with Picard number 1. Let L be the ample generator of the Néron–Severi group of X. Given an integer $$r\ge 2$$ , we prove lower bounds for the Seshadri constant of L at r very general points in X.XLX $$r\ge 2$$ $$r\ge 2$$LrX