Discrete behavior of Seshadri constants on surfaces

Brian Harbourne, Joaquim Roé

Research output: Contribution to journalArticleResearchpeer-review

11 Citations (Scopus)

Abstract

Working over C, we show that, apart possibly from a unique limit point, the possible values of multi-point Seshadri constants for general points on smooth projective surfaces form a discrete set. In addition to its theoretical interest, this result is of practical value, which we demonstrate by giving significantly improved explicit lower bounds for Seshadri constants on P2 and new results about ample divisors on blow ups of P2 at general points. © 2007 Elsevier Ltd. All rights reserved.
Original languageEnglish
Pages (from-to)616-627
JournalJournal of Pure and Applied Algebra
Volume212
DOIs
Publication statusPublished - 1 Mar 2008

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