Characterization of projective spaces by Seshadri constants

Yuchen Liu, Ziquan Zhuang*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

13 Scopus citations

Abstract

We prove that an n-dimensional complex projective variety is isomorphic to Pn if the Seshadri constant of the anti-canonical divisor at some smooth point is greater than n. We also classify complex projective varieties with Seshadri constants equal to n.

Original languageEnglish (US)
Pages (from-to)25-38
Number of pages14
JournalMathematische Zeitschrift
Volume289
Issue number1-2
DOIs
StatePublished - Jun 1 2018
Externally publishedYes

Keywords

  • Classification
  • Fano varieties
  • Projective space
  • Seshadri constants

ASJC Scopus subject areas

  • Mathematics(all)

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