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.
Author | : Kieran G. O'Grady |
Publisher | : American Mathematical Soc. |
Total Pages | : 188 |
Release | : 2016-03-10 |
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.