Corrigendum to the paper "The Mori fan of the Dolgachev-Nikulin-Voisin family in genus $2$'' by K. Hulek and C. Liese
Mathieu Dutour Sikiri\'c, Klaus Hulek, Christian Lehn
TL;DR
This paper corrects the enumeration of maximal cones in the Mori fan of the Dolgachev-Nikulin-Voisin family in genus 2, clarifying previous counting errors without altering the main theoretical results.
Contribution
It provides a corrected count of maximal cones in the Mori fan, ensuring accurate enumeration in the specific geometric context.
Findings
Corrected the enumeration of cones in the Mori fan
Confirmed that the main theoretical results remain valid
Clarified previous counting mistakes
Abstract
In this note, we correct some of the results of \cite{HL22} concerning the number of maximal cones in the Mori fan of the Dolgachev-Nikulin-Voisin fan in genus . The mistakes in the original paper concern the correct enumeration of cones. The method and the main theoretical results are not affected.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Geometry and complex manifolds · Mathematical Dynamics and Fractals