Numerical criteria on the complex Hessian quotient equations with the Calabi symmetry

Fuente: arXiv
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Auteur principal: Murakami, Rei
Format: Preprint
Publié: 2024
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author Murakami, Rei
author_facet Murakami, Rei
contents Assuming Calabi symmetry, we prove that a numerical condition ensures the solvability of the complex Hessian quotient equation, as conjectured by Székelyhidi. We also propose a conjecture on the existence of a $k$-subharmonic representative in a given cohomology class and confirm it under the assumption of Calabi symmetry or when the class is semiample.
format Preprint
id arxiv_https___arxiv_org_abs_2412_03113
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Numerical criteria on the complex Hessian quotient equations with the Calabi symmetry
Murakami, Rei
Differential Geometry
Assuming Calabi symmetry, we prove that a numerical condition ensures the solvability of the complex Hessian quotient equation, as conjectured by Székelyhidi. We also propose a conjecture on the existence of a $k$-subharmonic representative in a given cohomology class and confirm it under the assumption of Calabi symmetry or when the class is semiample.
title Numerical criteria on the complex Hessian quotient equations with the Calabi symmetry
topic Differential Geometry
url https://arxiv.org/abs/2412.03113