The Mori fan of the Dolgachev-Nikulin-Voisin family in genus $2$
Klaus Hulek, Carsten Liese
TL;DR
This paper investigates the Mori fan and secondary fan of a specific family of algebraic varieties in genus 2, providing a detailed enumeration of their maximal cones.
Contribution
It offers the first comprehensive enumeration of all maximal cones in the Mori and secondary fans for this family, advancing understanding of their geometric structure.
Findings
Complete enumeration of maximal cones in the Mori fan.
Complete enumeration of maximal cones in the secondary fan.
Enhanced understanding of the geometric structure of the family.
Abstract
In this paper we study the Mori fan of the Dolgachev-Nikulin-Voisin family in degree as well as the associated secondary fan. The main result is an enumeration of all maximal dimensional cones of the two fans.
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