Chern forms of Hermitian metrics with analytic singularities on vector bundles
| Autor: | Lärkäng, Richard, Raufi, Hossein, Sera, Martin, Wulcan, Elizabeth |
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| Rok vydání: | 2022 |
| Předmět: |
Mathematics - Algebraic Geometry
High Energy Physics::Theory Mathematics::Algebraic Geometry Mathematics::Commutative Algebra Mathematics - Complex Variables Mathematics::K-Theory and Homology Mathematics::Complex Variables General Mathematics FOS: Mathematics Complex Variables (math.CV) 32L05 32U40 32W20 (14C17 32U05) Algebraic Geometry (math.AG) |
| Zdroj: | Indiana University Mathematics Journal. 71:153-189 |
| ISSN: | 0022-2518 |
| DOI: | 10.1512/iumj.2022.71.8834 |
| Popis: | We define Chern and Segre forms, or rather currents, associated with a Griffiths positive singular hermitian metric $h$ with analytic singularities on a holomorphic vector bundle $E$. The currents are constructed as pushforwards of generalized Monge-Amp\`ere products on the projectivization of $E$. The Chern and Segre currents represent the Chern and Segre classes of $E$, respectively, and coincide with the Chern and Segre forms of $E$ and $h$, where $h$ is smooth. Moreover, our currents coincide with the Chern and Segre forms constructed by the first three authors and Ruppenthal in the cases when these are defined. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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