Special representatives of complexified Kähler classes

Author:

Scarpa Carlo,Stoppa Jacopo

Abstract

AbstractMotivated by constructions appearing in mirror symmetry, we study special representatives of complexified Kähler classes, which extend the notions of constant scalar curvature and extremal representatives for usual Kähler classes. In particular, we provide a moment map interpretation, discuss a possible correspondence with compactified Landau–Ginzburg models, and prove existence results for such special complexified Kähler forms and their large volume limits in certain toric cases.

Funder

Scuola Internazionale Superiore di Studi Avanzati - SISSA

Publisher

Springer Science and Business Media LLC

Reference47 articles.

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