The reflexivity of a Segre product of projective varieties

Satoru Fukasawa, Hajime Kaji

Research output: Contribution to journalArticle

Abstract

We study the reflexivity of a Segre product of a projective space ℙm and a projective variety Y, and give a criterion for ℙm × Y to be reflexive in terms of m, the dimension of Y, the rank of the general Hessian of Y and the characteristic of the ground field. Our study is closely related to a question raised by Kleiman and Piene on the relationship between the conormal map and the Gauss map.

Original languageEnglish
Pages (from-to)279-289
Number of pages11
JournalMathematische Annalen
Volume342
Issue number2
DOIs
Publication statusPublished - 2008 Oct 1

ASJC Scopus subject areas

  • Mathematics(all)

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