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A note about rational surfaces as unions of affine planes

Authors :
Caravantes, Jorge
Sendra, J. Rafael
Sevilla, David
Villarino, Carlos
Publication Year :
2022

Abstract

We prove that any smooth rational projective surface over the field of complex numbers has an open covering consisting of 3 subsets isomorphic to affine planes.<br />Comment: Added a remark to solve a missing case

Subjects

Subjects :
Mathematics - Algebraic Geometry
14E05, 14M20

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2203.09107
Document Type :
Working Paper

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