On the classification of non-normal complete intersections of two quadrics

Wanseok Lee, Euisung Park, Peter Schenzel

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

Let X⊂PKr be an irreducible non-normal complete intersection of two quadrics which is not a cone. The aim of this paper is to classify all X, up to projective equivalence. Our main result shows that r≤ 5 and there exist exactly six (resp. nine) X's when char K≠ 2 (resp. char. K= 2).

Original languageEnglish
Pages (from-to)1222-1234
Number of pages13
JournalJournal of Pure and Applied Algebra
Volume216
Issue number5
DOIs
Publication statusPublished - 2012 May

ASJC Scopus subject areas

  • Algebra and Number Theory

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