On surfaces of minimal degree in P5

Euisung Park

doi:10.1016/j.jsc.2021.08.001

On surfaces of minimal degree in P⁵

Euisung Park

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

There are exactly four surfaces of minimal degree in P⁵, 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.

Original language	English
Pages (from-to)	116-123
Number of pages	8
Journal	Journal of Symbolic Computation
Volume	109
DOIs	https://doi.org/10.1016/j.jsc.2021.08.001
Publication status	Published - 2022 Mar 1

Bibliographical note

Funding Information:
Acknowledgment. This work was supported by the Korea Research Foundation Grant funded by the Korean Government (no. 2018R1D1A1B07041336).

Publisher Copyright:
© 2021 Elsevier Ltd

Keywords

Rank of quadratic equation
Surfaces of minimal degree

ASJC Scopus subject areas

Algebra and Number Theory
Computational Mathematics

Access to Document

10.1016/j.jsc.2021.08.001

Cite this

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