Toward GIT stability of syzygies of canonical curves

Anand Deopurkar; Maksym Fedorchuk; David Swinarski

doi:10.14231/AG-2016-001

Toward GIT stability of syzygies of canonical curves

Anand Deopurkar, Maksym Fedorchuk, David Swinarski

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We introduce the problem of GIT stability for syzygy points of canonical curves with a view toward a GIT construction of the canonical model of M_g. As the first step in this direction, we prove the semi-stability of the first syzygy point for a general canonical curve of odd genus.

Original language	English
Pages (from-to)	1-22
Number of pages	22
Journal	Algebraic Geometry
Volume	3
Issue number	1
DOIs	https://doi.org/10.14231/AG-2016-001
Publication status	Published - 1 Jan 2016
Externally published	Yes

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title = "Toward GIT stability of syzygies of canonical curves",

abstract = "We introduce the problem of GIT stability for syzygy points of canonical curves with a view toward a GIT construction of the canonical model of Mg. As the first step in this direction, we prove the semi-stability of the first syzygy point for a general canonical curve of odd genus.",

keywords = "Canonical curves, Geometric invariant theory, Ribbons, Syzygies",

author = "Anand Deopurkar and Maksym Fedorchuk and David Swinarski",

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AU - Deopurkar, Anand

AU - Fedorchuk, Maksym

AU - Swinarski, David

N1 - Publisher Copyright: © Foundation Compositio Mathematica 2016.

PY - 2016/1/1

Y1 - 2016/1/1

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AB - We introduce the problem of GIT stability for syzygy points of canonical curves with a view toward a GIT construction of the canonical model of Mg. As the first step in this direction, we prove the semi-stability of the first syzygy point for a general canonical curve of odd genus.

KW - Canonical curves

KW - Geometric invariant theory

KW - Ribbons

KW - Syzygies

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U2 - 10.14231/AG-2016-001

DO - 10.14231/AG-2016-001

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JO - Algebraic Geometry

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Toward GIT stability of syzygies of canonical curves

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