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- W3204630631 abstract "We study the syzygies of canonical curves of even genus $g=2k$ over an algebraically closed field $mathbb{F}$ with $mathrm{Char}(mathbb{F})=p>0$. For $pgeqfrac{g+4}{2}=k+2$, we prove a structure theorem for the last syzygy space. As a corollary, this gives a new proof of Green's Conjecture for general canonical curves of even genus in positive characteristic. Assuming $p>2k$, we prove Geometric Syzygy Conjecture for a general smooth curve of even genus $g=2k$." @default.
- W3204630631 created "2021-10-11" @default.
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- W3204630631 date "2021-09-24" @default.
- W3204630631 modified "2023-09-27" @default.
- W3204630631 title "Geometric Syzygy Conjecture in Positive Characteristic" @default.
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