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Holomorphically equivalent algebraic embeddings

Feller, Peter and Stampfli, Immanuel. (2014) Holomorphically equivalent algebraic embeddings.

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Official URL: https://edoc.unibas.ch/59706/

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Abstract

We prove that two algebraic embeddings of a smooth variety X in ℂm are the same up to a holomorphic coordinate change, provided that 2dimX+1 is smaller than or equal to m. This improves an algebraic result of Nori and Srinivas. For the proof we extend a technique of Kaliman using generic linear projections of ℂm.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Algebraische Geometrie (Blanc)
UniBasel Contributors:van Santen, Immanuel
Item Type:Working Paper
Publisher:arXiv.org
Number of Pages:17
Note:Publication type according to Uni Basel Research Database: Discussion paper / Internet publication
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Last Modified:08 Dec 2020 13:52
Deposited On:08 Dec 2020 13:52

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