The Mori fan of the Dolgachev-Nikulin-Voisin family in genus $2$

Abstract

In this paper we study the Mori fan of the Dolgachev-Nikulin-Voisin family in degree $2$ as well as the associated secondary fan. The main result is an enumeration of all maximal dimensional cones of the two fans.

arXiv commentSubstantially revised final version

References in corpus (8)

• Arithmetic Properties of Mirror Map and Quantum Coupling
• Moduli of surfaces with an anti-canonical cycle
• The number of convex tilings of the sphere by triangles, squares, or hexagons
• Moduli of K3 Surfaces and Irreducible Symplectic Manifolds
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• Theta functions on varieties with effective anti-canonical class
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Cited by in corpus (2)

• The Mirror Clemens-Schmid Sequence
• On the GHKS compactification of the moduli space of K3 surfaces of degree two