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).
ASJC Scopus subject areas
- Algebra and Number Theory