Abstract
In this paper, we study how the minimal free resolution of a closed subscheme X ⊂ ℙr relates to that of a linear section X ∩ Λ ⊂ Λ = ℙs (0 < s < r). Our main result implies that the shape of the final non-zero row of the Betti diagram of X is preserved under taking the zero-dimensional and one-dimensional linear sections.
| Original language | English |
|---|---|
| Pages (from-to) | 1831-1836 |
| Number of pages | 6 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 143 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2015 |
Bibliographical note
Publisher Copyright:© 2014 American Mathematical Society.
Keywords
- Linear section
- Minimal free resolution
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics