On 3 -linear varieties of codimension 2

Wanseok Lee, Euisung Park

Research output: Contribution to journalArticlepeer-review

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
Article number2050106
JournalJournal of Algebra and its Applications
Volume19
Issue number6
DOIs
Publication statusPublished - 2020 Jun 1

Bibliographical note

Funding Information:
The first author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (NRF-2017R1D1A1B03031438). The second author was supported by the Korea Research Foundation Grant funded by the Korean Government (NRF-2018R1D1A1B07041336). The authors also thank the referee for a careful study of the manuscript and the suggested improvements.

Publisher Copyright:
© 2020 World Scientific Publishing Company.

Keywords

  • Castelnuovo-Mumford regularity
  • linear resolution

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'On 3 -linear varieties of codimension 2'. Together they form a unique fingerprint.

Cite this