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 language | English |
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Pages (from-to) | 1222-1234 |
Number of pages | 13 |
Journal | Journal of Pure and Applied Algebra |
Volume | 216 |
Issue number | 5 |
DOIs | |
Publication status | Published - 2012 May |
Bibliographical note
Funding Information:The first author was supported by the National Researcher program 2010-0020413 of the NRF and the MEST. The second author was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology(2011-0004408). The authors are also grateful to the referee for a careful study of the manuscript and for providing a sketch of an elementary proof of the inequivalences of all except the cases (4), (8), (9) listed in Theorem 1.1, Theorem 1.2.
ASJC Scopus subject areas
- Algebra and Number Theory