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Pluri-cotangent maps of surfaces of general type
- Publication Year :
- 2022
-
Abstract
- Let $X$ be a compact, complex surface of general type whose cotangent bundle $\Omega_X$ is strongly semi-ample. We study the pluri-cotangent maps of $X$, namely the morphisms $\psi_n \colon \mathbb{P}(\Omega_X) \to \mathbb{P}(H^0(X, \, S^n \Omega_X))$ defined by the vector space of global sections $H^0(X, \, S^n \Omega_X)$.<br />Comment: 25 pages. Final version, to appear in Annali della Scuola Normale Superiore di Pisa, Classe di Scienze
- Subjects :
- Mathematics - Algebraic Geometry
14J29
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2212.02412
- Document Type :
- Working Paper