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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Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: O'Grady, Kieran G., 1958- (Auteur)
Format: Électronique eBook
Langue:Inglés
Publié: Providence, Rhode Island : American Mathematical Society, 2016.
Collection:Memoirs of the American Mathematical Society ; no. 1136.
Sujets:
Surfaces, Sextic.
Equations, Sextic.
Permutation groups.
Hypersurfaces.
Geometry, Algebraic.
Surfaces sextiques.
Équations sextiques.
Groupes de permutations.
Géométrie algébrique.
Equations, Sextic
Geometry, Algebraic
Hypersurfaces
Permutation groups
Surfaces, Sextic
Accès en ligne:Texto completo
Table des matières:
  • 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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