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• W3100889969 abstract "We consider smooth moduli spaces of semistable vector bundles of fixed rank and determinant on a compact Riemann surface $X$ of genus at least $3$. The choice of a Poincar'e bundle for such a moduli space $M$ induces an isomorphism between $X$ and a component of the moduli space of semistable sheaves over $M$. We prove that $h^0(M, text{End}({mathcal E})otimes TM)= 1$ for a vector bundle $mathcal E$ on $M$ coming from this component. Furthermore, there are no nonzero integrable co-Higgs fields on $mathcal E$." @default.
• W3100889969 created "2020-11-23" @default.
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• W3100889969 date "2017-05-29" @default.
• W3100889969 modified "2023-10-03" @default.
• W3100889969 title "A vanishing theorem for co-Higgs bundles on the moduli space of bundles" @default.
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• W3100889969 doi "https://doi.org/10.1007/s10711-017-0259-4" @default.
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