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Permutation groups. --- Hypersurfaces --- Geometry, Algebraic. --- Groupes de permutations --- Géométrie algébrique --- Surfaces, Sextic --- Equations, Sextic --- Permutation groups --- Geometry, Algebraic --- Géométrie algébrique
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The author studies the GIT quotient of the symplectic grassmannian parametrizing lagrangian subspaces of igwedge^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.
Surfaces, Sextic. --- Equations, Sextic. --- Permutation groups. --- Hypersurfaces. --- Geometry, Algebraic.
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Differential topology --- Differentiaal"topologie --- Elliptic surfaces --- Elliptische vlakken --- Surfaces elliptiques --- Topologie differentielle --- 51 --- Mathematics --- 51 Mathematics
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