On 3 -linear varieties of codimension 2

Wanseok Lee, Euisung Park

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 languageEnglish
JournalJournal of Algebra and its Applications
DOIs
Publication statusPublished - 2019 Jan 1

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Keywords

  • Castelnuovo-Mumford regularity
  • linear resolution

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics

Cite this

On 3 -linear varieties of codimension 2. / Lee, Wanseok; Park, Euisung.

In: Journal of Algebra and its Applications, 01.01.2019.

Research output: Contribution to journal › Article

Lee, W & Park, E 2019, 'On 3 -linear varieties of codimension 2', Journal of Algebra and its Applications. https://doi.org/10.1142/S0219498820501066
Lee W, Park E. On 3 -linear varieties of codimension 2. Journal of Algebra and its Applications. 2019 Jan 1. https://doi.org/10.1142/S0219498820501066
Lee, Wanseok ; Park, Euisung. / On 3 -linear varieties of codimension 2. In: Journal of Algebra and its Applications. 2019.
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