The Rank of Syzygies of Canonical Curves
Michael Kemeny
TL;DR
This paper proves that for a general canonical curve, the linear syzygy spaces are generated by syzygies of minimal rank, advancing understanding of the algebraic structure of these curves.
Contribution
It establishes that the syzygy spaces of general canonical curves are spanned by minimal rank syzygies, providing new insights into their algebraic properties.
Findings
Syzygy spaces are spanned by minimal rank syzygies.
Results apply to general canonical curves.
Enhances understanding of algebraic structure of canonical curves.
Abstract
We prove that the linear syzygy spaces of a general canonical curve are spanned by syzygies of minimal rank.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Polynomial and algebraic computation