Kieran G O’Grady 
Moduli of Double EPW-Sextics [PDF ebook] 

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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.

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格式 PDF ● 网页 172 ● ISBN 9781470428242 ● 出版者 American Mathematical Society ● 发布时间 2016 ● 下载 3 时 ● 货币 EUR ● ID 7965073 ● 复制保护 Adobe DRM
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