Moduli of Double EPW-Sextics /
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| Author / Creator: | O'Grady, Kieran G., 1958- author. |
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| Imprint: | Providence, RI : American Mathematical Society, 2016. ©2015. |
| Description: | ix, 172 pages : illustrations ; 25 cm. |
| Language: | English |
| Series: | Memoirs of the American Mathematical Society, 0065-9266 ; volume 240, number 1136 Memoirs of the American Mathematical Society ; no. 1136. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/10510564 |
| Summary: | 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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| Item Description: | "Volume 240, number 1136 (second of 5 numbers), March 2016." |
| Physical Description: | ix, 172 pages : illustrations ; 25 cm. |
| Bibliography: | Includes bibliographical references. |
| ISBN: | 9781470416966 1470416964 |
| ISSN: | 0065-9266 ; |
