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

Wanseok Lee; Euisung Park; Peter Schenzel

doi:10.1016/j.jpaa.2011.12.009

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

Wanseok Lee, Euisung Park, Peter Schenzel

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	1222-1234
Number of pages	13
Journal	Journal of Pure and Applied Algebra
Volume	216
Issue number	5
DOIs	https://doi.org/10.1016/j.jpaa.2011.12.009
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

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10.1016/j.jpaa.2011.12.009

Cite this

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title = "On the classification of non-normal complete intersections of two quadrics",

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).",

author = "Wanseok Lee and Euisung Park and Peter Schenzel",

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.",

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doi = "10.1016/j.jpaa.2011.12.009",

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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.

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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).

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VL - 216

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JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 5

ER -

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

Abstract

Bibliographical note

ASJC Scopus subject areas

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