Exact computation of the Special geometry for Calabi-Yau hypersurfaces of Fermat type

TL;DR

This paper advances methods for precisely computing the special Kähler geometry of Calabi-Yau hypersurfaces, specifically extending to all polynomial deformations of Fermat type, enhancing understanding of their moduli spaces.

Contribution

It generalizes existing computational techniques to include all polynomial deformations of Fermat hypersurfaces, improving accuracy and applicability.

Findings

Effective computation of special Kähler geometry for Fermat hypersurfaces

Extension of methods to all polynomial deformations

Enhanced understanding of Calabi-Yau moduli spaces

Abstract

We continue to develop our method for effectively computating the special K\"ahler geometry on the moduli space of Calabi-Yau manifolds. We generalize it to all polynomial deformations of Fermat hypersurfaces.