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Moduli of double EPW-sextics /

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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: O'Grady, Kieran G., 1958- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2016.
Colección:Memoirs of the American Mathematical Society ; no. 1136.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario: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.
Notas:"Volume 240, number 1136 (second of 5 numbers), March 2016."
Descripción Física:1 online resource (ix, 172 pages)
Bibliografía:Includes bibliographical references (pages 171-172).
ISBN:9781470428242
1470428245
ISSN:0065-9266 ;