Moduli of Double EPW-Sextics (eBook)

Kieran G O'Grady (Autor)

eBook Download: PDF

2016
172 Seiten
American Mathematical Society (Verlag)
978-1-4704-2824-2 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 3.10.2016
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• ISBN-10: 1-4704-2824-5 / 1470428245
• ISBN-13: 978-1-4704-2824-2 / 9781470428242