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OverviewThe 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. Full Product DetailsAuthor: Kieran G. O'GradyPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.274kg ISBN: 9781470416966ISBN 10: 1470416964 Pages: 172 Publication Date: 30 April 2016 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsIntroduction 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 BibliographyReviewsAuthor InformationKieran G. O'Grady, Sapienza Universita di Roma, Italy. Tab Content 6Author Website:Countries AvailableAll regions |
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