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On surfaces of minimal degree in P-5

Authors
Park, Euisung
Issue Date
3월-2022
Publisher
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
Keywords
Surfaces of minimal degree; Rank of quadratic equation
Citation
JOURNAL OF SYMBOLIC COMPUTATION, v.109, pp.116 - 123
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF SYMBOLIC COMPUTATION
Volume
109
Start Page
116
End Page
123
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/135204
DOI
10.1016/j.jsc.2021.08.001
ISSN
0747-7171
Abstract
There are exactly four surfaces of minimal degree in P-5, up to projective equivalence. And they have the same graded Betti numbers. So it is a natural question to ask how to recognize them by their defining equations. In this paper we provide an answer to this question in terms of the rank loci of quadratic equations of those four surfaces. We show that the sets of rank 3 and rank 4 quadratic equations distinguish them. (C) 2021 Elsevier Ltd. All rights reserved.
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이과대학 (수학과)
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