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 |
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Article number | 2050106 |
Journal | Journal of Algebra and its Applications |
Volume | 19 |
Issue number | 6 |
DOIs | |
Publication status | Published - 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