3 papers
math.AG2025
A proof of generic Green's conjecture in odd genus
Michael Kemeny
In this note, we give a new proof of Voisin's theorem on Green's conjecture for generic curves of odd genus resembling the first two sections of "Universal Secant Bundles and Syzyg…
math.AG2025
The Geometric Syzygy Conjecture in Positive Characteristic
Michael Kemeny, Peter Yi Wei
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 characteri…
math.AG2024
Linear syzygies of projective space
Michael Kemeny
We study the Ein-Lazarsfeld Conjecture of syzygies of Veronese varieties in the case of linear syzygies q=1. We show a vanishing statement which agrees with the conjecture up to hi…