Special representatives of complexified Kähler classes
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866914757676630016 |
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| author | Scarpa, Carlo Stoppa, Jacopo |
| author_facet | Scarpa, Carlo Stoppa, Jacopo |
| contents | Motivated 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2209_14157 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Special representatives of complexified Kähler classes Scarpa, Carlo Stoppa, Jacopo Differential Geometry Algebraic Geometry 32Q15 (Primary), 32Q26, 53C55 (Secondary) Motivated 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. |
| title | Special representatives of complexified Kähler classes |
| topic | Differential Geometry Algebraic Geometry 32Q15 (Primary), 32Q26, 53C55 (Secondary) |
| url | https://arxiv.org/abs/2209.14157 |