Titlebook: K3 Surfaces and Their Moduli; Carel Faber,Gavril Farkas,Gerard van der Geer Book 2016 Springer International Publishing Switzerland 2016 K

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978-3-319-80696-9Springer International Publishing Switzerland 2016

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K3 Surfaces and Their Moduli978-3-319-29959-4Series ISSN 0743-1643 Series E-ISSN 2296-505X

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Orbital Counting of Curves on Algebraic Surfaces and Sphere Packings,an algebraic surface. Borrowing some results in the theory of orbit counting, we study the asymptotic of the growth of degrees of elements in the orbit of a curve on an algebraic surface with respect to a geometrically finite group of its automorphisms.

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The Igusa Quartic and Borcherds Products,rphic forms of weight 6 on the Igusa quartic 3-fold which defines an ..-equivariant rational map of degree 16 from the Igusa quartic to the Segre cubic. In particular, it gives a rational self-map of the Igusa quartic of degree 16.

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Geometry of Genus 8 Nikulin Surfaces and Rationality of their Moduli,n a fascinating system of relations to other known geometric families. Our aim is to unveil one of these relations, namely that occurring between the moduli of Nikulin surfaces of genus 8 and the Hilbert scheme of rational sextic curves in the Grassmannian .(1, 4). We will work over an algebraically closed field . of characteristic zero.

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