Abstract
In this paper, we study the minimal free resolution of a nondegenerate projective variety X⊂Pr when X is contained in a variety Y of minimal degree as a divisor. Such a variety is of interest because of its extremal behavior with respect to various properties. The graded Betti diagram of X has been completely known only when X is arithmetically Cohen-Macaulay. Our main result in the present paper provides a detailed description of the graded Betti diagram of X for the case where X is not arithmetically Cohen-Macaulay.
Original language | English |
---|---|
Pages (from-to) | 1383-1393 |
Number of pages | 11 |
Journal | Mathematische Nachrichten |
Volume | 287 |
Issue number | 11-12 |
DOIs | |
Publication status | Published - 2014 Aug |
Keywords
- 13D02
- Divisor of a rational normal scroll
- Minimal free resolution
- Primary: 14N05
ASJC Scopus subject areas
- General Mathematics