Kołodziej-Tosatti's conjecture on compact Hermitian manifold with bounded mass property
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866929610632986624 |
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| author | Zhang, Lei |
| author_facet | Zhang, Lei |
| contents | In this note, we show a conjecture of Kołodziej-Tosatti about Morse-type integrals in nef $(1,1)$ classes on compact Hermitian manifold with bounded mass property. As a consequence, we give positive answers to Demailly-Păun's conjecture and Tosatti-Weinkove's conjecture when compact Hermitian manifold with bounded mass property. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_01586 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Kołodziej-Tosatti's conjecture on compact Hermitian manifold with bounded mass property Zhang, Lei Differential Geometry In this note, we show a conjecture of Kołodziej-Tosatti about Morse-type integrals in nef $(1,1)$ classes on compact Hermitian manifold with bounded mass property. As a consequence, we give positive answers to Demailly-Păun's conjecture and Tosatti-Weinkove's conjecture when compact Hermitian manifold with bounded mass property. |
| title | Kołodziej-Tosatti's conjecture on compact Hermitian manifold with bounded mass property |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2412.01586 |