A primer on Seshadri constants
Abstract
Seshadri constants express the so called local positivity of a line bundle on a projective variety. They were introduced by Demailly. The original idea of using them towards a proof of the Fujita conjecture failed but they quickly became a subject of intensive study quite in their own right. Lazarsfeld's book "Positivity in Algebraic Geometry" contains a whole chapter devoted to local positivity and serves as a very enjoyable introduction to Seshadri constants. Since this book has appeared, the subject witnessed quite a bit of development. It is the aim of these notes to give an account of recent progress as well as to discuss many open questions and provide some examples.
Cite
@article{arxiv.0810.0728,
title = {A primer on Seshadri constants},
author = {Thomas Bauer and Sandra Di Rocco and Brian Harbourne and Michal Kapustka and Andreas Leopold Knutsen and Wioletta Syzdek and Tomasz Szemberg},
journal= {arXiv preprint arXiv:0810.0728},
year = {2010}
}
Comments
37 pages, notes taken after the workshop on Seshadri consants held in Essen 12-15 Februar 2008, dedicated to Andrew J. Sommese the numbering in v.2 maches the numbering of the printed version