Moduli of Double EPW-Sextics

Download or Read eBook Moduli of Double EPW-Sextics PDF written by Kieran G. O'Grady and published by American Mathematical Soc.. This book was released on 2016-03-10 with total page 188 pages. Available in PDF, EPUB and Kindle.
Moduli of Double EPW-Sextics
Author :
Publisher : American Mathematical Soc.
Total Pages : 188
Release :
ISBN-10 : 9781470416966
ISBN-13 : 1470416964
Rating : 4/5 (66 Downloads)

Book Synopsis Moduli of Double EPW-Sextics by : Kieran G. O'Grady

Book excerpt: The author studies the GIT quotient of the symplectic grassmannian parametrizing lagrangian subspaces of ⋀3C6 modulo the natural action of SL6, call it 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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