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題目:J-equation and a Kobayashi-Hitchin-type correspondence on semistable vector bundles

概要:We introduce the J-equation on higher rank holomorphic vector bundles with an application to the deformed Hermitian-Yang-Mills equation through the small volume limit. On semistable bundles over smooth projective surfaces, we provide a necessary and sufficient condition for the solvability of the J-equation in an asymptotic setup. Our result can be thought of as a perturbed version of the Kobayashi-Hitchin correspondence.

2024年度セミナー

題目:TBA

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題目:TBA

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題目:TBA

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題目:J-equation and a Kobayashi-Hitchin-type correspondence on semistable vector bundles

概要:We introduce the J-equation on higher rank holomorphic vector bundles with an application to the deformed Hermitian-Yang-Mills equation through the small volume limit. On semistable bundles over smooth projective surfaces, we provide a necessary and sufficient condition for the solvability of the J-equation in an asymptotic setup. Our result can be thought of as a perturbed version of the Kobayashi-Hitchin correspondence.


題目:Cyclic volume forms for a positive singular Hermitian metric on the canonical bundle over Kähler manifolds

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