The Geometric Syzygy Conjecture in Positive Characteristic
Michael Kemeny, Peter Yi Wei
公開日: 2025/8/31
Abstract
We show the geometric syzygy conjecture in positive characteristic. Specifically, if C is a general smooth curve of genus g defined over an algebraically closed field of characteristic p, then all linear syzygy spaces are spanned by syzygies of minimal rank provided p is at least 2g-4.