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Del Pezzo Surfaces in Weighted Projective Spaces

Part of: Computational aspects in algebraic geometry Complex manifolds Surfaces and higher-dimensional varieties

Published online by Cambridge University Press:  04 April 2018

Erik Paemurru
Erik Paemurru*
Affiliation:
School of Mathematics, University of Edinburgh, Edinburgh EH9 3JZ, UK ([email protected])
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Abstract

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We study singular del Pezzo surfaces that are quasi-smooth and well-formed weighted hypersurfaces. We give an algorithm to classify all of them.

Keywords

Fano varietydel Pezzo surfaceKähler–Einstein metric

MSC classification

Primary: 14J45: Fano varieties
Secondary: 32Q20: Kähler-Einstein manifolds 14J26: Rational and ruled surfaces 14Q10: Surfaces, hypersurfaces
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 61 , Issue 2 , May 2018 , pp. 545 - 572
Copyright
Copyright © Edinburgh Mathematical Society 2018 

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