27 citations · 57 across the 13 of their papers we have counts for
19 papers
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…
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…
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…
The Rank of Syzygies of Canonical Curves
Michael Kemeny
We prove that the linear syzygy spaces of a general canonical curve are spanned by syzygies of minimal rank.
Universal Secant Bundles and Syzygies of Canonical Curves
Michael Kemeny
We introduce a relativization of the secant sheaves used by Ein, Green and Lazarsfeld and apply this construction to the study of syzygies of canonical curves. As a first applicati…
A Simple Proof of Voisin's Theorem for Canonical Curves of Even Genus
Michael Kemeny
We give a simple proof of Voisin's Theorem for general canonical curves of even genus. This completely determines the terms of the minimal free resolution of the coordinate ring of…