On 3 -linear varieties of codimension 2

Wanseok Lee; Euisung Park

doi:10.1142/S0219498820501066

On 3 -linear varieties of codimension 2

Wanseok Lee, Euisung Park

Department of Mathematics

Research output: Contribution to journal › Article

Abstract

A projective variety in a projective space is said to be p-linear if it is p-regular and has no defining equation of degree < p. It is well known that 2-linear varieties are exactly varieties of minimal degree. In this paper, we study 3-linear varieties of codimension 2. We classify all smooth 3-linear varieties of codimension 2. There are six kinds of such varieties. Also, we provide some nonconic singular 3-linear varieties of codimension 2.

Original language	English
Journal	Journal of Algebra and its Applications
DOIs	https://doi.org/10.1142/S0219498820501066
Publication status	Published - 2019 Jan 1

Keywords

Castelnuovo-Mumford regularity
linear resolution

ASJC Scopus subject areas

Algebra and Number Theory
Applied Mathematics

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10.1142/S0219498820501066

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Lee, W., & Park, E. (2019). On 3 -linear varieties of codimension 2. Journal of Algebra and its Applications. https://doi.org/10.1142/S0219498820501066

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