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 |
---|---|
Article number | 2050106 |
Journal | Journal of Algebra and its Applications |
Volume | 19 |
Issue number | 6 |
DOIs | |
Publication status | Published - 2020 Jun 1 |
Keywords
- Castelnuovo-Mumford regularity
- linear resolution
ASJC Scopus subject areas
- Algebra and Number Theory
- Applied Mathematics