| Description |
1 online resource (ix, 172 pages) |
| Series |
Memoirs of the American Mathematical Society, 0065-9266 ; volume 240, number 1136 |
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Memoirs of the American Mathematical Society ; no. 1136.
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| Contents |
880-01 Introduction -- Preliminaries -- One-parameter subgroups and stability -- Plane sextics and stability of lagrangians -- Lagrangians with large stabilizers -- Description of the GIT-boundary -- Boundary components meeting I in a subset of X[subscript W] [cup] {x, x[superscript v]} -- The remaining boundary components -- Appendix A. Elementary auxiliary results -- Appendix B. Tables |
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880-01/(S 6.3.2. The GIT analysis6.3.3. Analysis of Θ_{ } and _{, }; 6.3.4. Wrapping it up; 6.4. \gB_{\cE₁}; 6.4.1. The GIT analysis; 6.4.2. Analysis of Θ_{ } and _{, }; 6.4.3. Wrapping it up; 6.5. \gB_{\cÊ{∨}₁}; 6.5.1. The GIT analysis; 6.5.2. Analysis of Θ_{ } and _{, }; 6.5.3. Wrapping it up; 6.6. \gB_{\cF₁}; 6.6.1. The GIT analysis; 6.6.2. Analysis of Θ_{ } and _{, }; 6.6.3. Wrapping it up; Chapter 7. The remaining boundary components; 7.1. \gB_{\cF₂}; 7.2. \gB_{\cF₂}∩\gI; 7.2.1. Set-up and statement of the main results |
| Summary |
The author studies the GIT quotient of the symplectic grassmannian parametrizing lagrangian subspaces of \bigwedgê3{\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 K3̂{[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 |
| Notes |
"Volume 240, number 1136 (second of 5 numbers), March 2016." |
| Bibliography |
Includes bibliographical references (pages 171-172) |
| Notes |
Online resource; title from PDF title page (viewed February 16, 2016) |
| Subject |
Surfaces, Sextic.
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Equations, Sextic.
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Permutation groups.
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Hypersurfaces.
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Geometry, Algebraic.
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Equations, Sextic
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Geometry, Algebraic
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Hypersurfaces
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Permutation groups
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Surfaces, Sextic
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| Form |
Electronic book
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| Author |
American Mathematical Society, publisher
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| ISBN |
9781470428242 |
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1470428245 |
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