Special representatives of complexified K\"ahler classes
Differential Geometry
2024-04-18 v2 Algebraic Geometry
Abstract
Motivated by constructions appearing in mirror symmetry, we study special representatives of complexified K\"ahler classes, which extend the notions of constant scalar curvature and extremal representatives for usual K\"ahler 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 K\"ahler forms and their large volume limits in certain toric cases.
Cite
@article{arxiv.2209.14157,
title = {Special representatives of complexified K\"ahler classes},
author = {Carlo Scarpa and Jacopo Stoppa},
journal= {arXiv preprint arXiv:2209.14157},
year = {2024}
}
Comments
v2: 43 pages. Corrected some typos and updated references. To appear in Selecta Mathematica