A short proof of Tian's formula for logarithmic Weil-Petersson metric
Résumé
In this short note, we give a short proof of Tian's formula[10] for Käh-ler potential of logarithmic Weil-Petersson metric on moduli space of log Calabi-Yau varieties (if exists!) of conic and Poincare singularities. Moreover we give a relation between logarithmic Weil-Petersson metric and the logarithmic version of Vafa-Yau semi Ricci flat metric on the family of log Calabi-Yau pairs with conical singularities. In final we consider the semi-positivity of singular logarithmic Weil-Petersson metric on the moduli space of log-Calabi-Yau varieties.
Domaines
Mathématiques [math]Origine | Fichiers produits par l'(les) auteur(s) |
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