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August 2020 VGIT Presentation of the Second Flip of M ¯ 2 , 1
Maksym Fedorchuk, Matthew Grimes
Michigan Math. J. 69(3): 487-514 (August 2020). DOI: 10.1307/mmj/1596700815

Abstract

We perform a variation of geometric invariant theory stability analysis for 2nd Hilbert points of bi-log-canonically embedded pointed curves of genus 2. As a result, we give a GIT construction of the log canonical models M¯2,1(α) for α=2/3±ϵ and obtain a VGIT presentation of the second flip in the Hassett–Keel program for the moduli space of pointed genus 2 curves.

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Maksym Fedorchuk. Matthew Grimes. "VGIT Presentation of the Second Flip of M ¯ 2 , 1 ." Michigan Math. J. 69 (3) 487 - 514, August 2020. https://doi.org/10.1307/mmj/1596700815

Information

Received: 15 June 2018; Revised: 22 January 2019; Published: August 2020
First available in Project Euclid: 6 August 2020

MathSciNet: MR4132600
Digital Object Identifier: 10.1307/mmj/1596700815

Subjects:
Primary: 14H10
Secondary: 14E30, 14L24

Rights: Copyright © 2020 The University of Michigan

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Vol.69 • No. 3 • August 2020
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