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DHYM connections on higher rank holomorphic vector bundles over P(TP2)

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Autor(es):
Correa, Eder M.
Número total de Autores: 1
Tipo de documento: Artigo Científico
Fonte: MATHEMATISCHE ZEITSCHRIFT; v. 308, n. 2, p. 27-pg., 2024-10-01.
Resumo

We construct the first explicit non-trivial example of deformed Hermitian Yang-Mills (dHYM) connection on a higher rank slope-unstable holomorphic vector bundle over a Fano threefold. Additionally, we provide a sufficient algebraic condition in terms of central charges for the existence of dHYM connections on Whitney sum of holomorphic line bundles over rational homogeneous varieties. As a consequence, we obtain several new examples of dHYM connections on higher rank holomorphic vector bundles. (AU)

Processo FAPESP: 22/10429-3 - Geometria hermitiana com torção em fibrados principais e aplicações
Beneficiário:Eder de Moraes Correa
Modalidade de apoio: Auxílio à Pesquisa - Regular