The Regularity of the Conductor
David Eisenbud, Bernd Ulrich
TL;DR
This paper establishes bounds on the Castelnuovo-Mumford regularity and syzygies of the ideal defining the singular set of plane curves and the conductor scheme of specific Gorenstein varieties.
Contribution
It provides new bounds on regularity and syzygies for singular sets and conductor schemes in algebraic geometry, extending previous results.
Findings
Bounded the Castelnuovo-Mumford regularity of singular sets
Bounded syzygies of conductor schemes
Extended results to projectively Gorenstein varieties
Abstract
We bound the Castelnuovo-Mumford regularity and syzygies of the ideal of the singular set of a plane curve, and more generally of the conductor scheme of certain projectively Gorenstein varieties.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Algebraic structures and combinatorial models