Download E-books Moduli of Double Epw-sextics (Memoirs of the American Mathematical Society) PDF

The writer reports the GIT quotient of the symplectic grassmannian parametrizing lagrangian subspaces of $\bigwedge^3{\mathbb C}^6$ modulo the ordinary motion of $\mathrm{SL}_6$, name it $\mathfrak{M}$. it is a compactification of the moduli house of soft double EPW-sextics and consequently birational to the moduli house of HK $4$-folds of kind $K3^{[2]}$ polarized through a divisor of sq. $2$ for the Beauville-Bogomolov quadratic shape. the writer will ascertain the good issues. His paintings bears a powerful analogy with the paintings of Voisin, Laza and Looijenga on moduli and sessions of cubic $4$-folds.

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