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arXiv · 2212.02412

Pluri-cotangent maps of surfaces of general type

Francesco Polizzi·Xavier Roulleau
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Abstract

Let $X$ be a compact, complex surface of general type whose cotangent bundle $Ω_X$ is strongly semi-ample. We study the pluri-cotangent maps of $X$, namely the morphisms $ψ_n \colon \mathbb{P}(Ω_X) \to \mathbb{P}(H^0(X, \, S^n Ω_X))$ defined by the vector space of global sections $H^0(X, \, S^n Ω_X)$.

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BibTeXRIS

Francesco Polizzi, Xavier Roulleau. 2025-07-12. Pluri-cotangent maps of surfaces of general type. https://doi.org/10.2422/2036-2145.202301_010

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