Moduli of double EPW-sextics
Author(s)
Bibliographic Information
Moduli of double EPW-sextics
（Memoirs of the American Mathematical Society, no. 1136）
American Mathematical Society, 2016
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Note
Includes bibliographical references
"Volume 240, number 1136 (second of 5 numbers), March 2016"
Description and Table of Contents
Description
The author studies the GIT quotient of the symplectic grassmannian parametrizing lagrangian subspaces of $\bigwedge^3{\mathbb C}^6$ modulo the natural action of $\mathrm{SL}_6$, call it $\mathfrak{M}$. This is a compactification of the moduli space of smooth double EPW-sextics and hence birational to the moduli space of HK $4$-folds of Type $K3^{[2]}$ polarized by a divisor of square $2$ for the Beauville-Bogomolov quadratic form. The author will determine the stable points. His work bears a strong analogy with the work of Voisin, Laza and Looijenga on moduli and periods of cubic $4$-folds.
Table of Contents
Introduction
Preliminaries
One-parameter subgroups and stability
Plane sextics and stability of lagrangians
Lagrangians with large stabilizers
Description of the GIT-boundary
Boundary components meeting $\mathfrak{I}$ in a subset of $\mathfrak{X}_{\mathcal{W}}\cup\{\mathfrak{x}, \mathfrak{x}^{\vee}\}$
The remaining boundary components
Appendix A. Elementary auxiliary results
Appendix B. Tables
Bibliography
by "Nielsen BookData"