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.
|Number of pages||6|
|Journal||Proceedings of the American Mathematical Society|
|Publication status||Published - 2015|
- Linear section
- Minimal free resolution
ASJC Scopus subject areas
- Applied Mathematics