TY - JOUR
T1 - On the classification of non-normal complete intersections of two quadrics
AU - Lee, Wanseok
AU - Park, Euisung
AU - Schenzel, Peter
N1 - 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.
PY - 2012/5
Y1 - 2012/5
N2 - 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).
AB - 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).
UR - http://www.scopus.com/inward/record.url?scp=84855847120&partnerID=8YFLogxK
U2 - 10.1016/j.jpaa.2011.12.009
DO - 10.1016/j.jpaa.2011.12.009
M3 - Article
AN - SCOPUS:84855847120
SN - 0022-4049
VL - 216
SP - 1222
EP - 1234
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 5
ER -