Algebraic surface: Difference between revisions
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imported>David Lehavi (stub) |
imported>David Lehavi (basic sketch) |
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An '''algebraic surface''' over a [[field]] <math>K</math> is a two dimensional algebraic variety over this field. | An '''algebraic surface''' over a [[field]] <math>K</math> is a two dimensional algebraic variety over this field. | ||
=== Examples === | |||
=== Classification === | |||
== Invariants == | |||
== The Picard group == | |||
== Negative Kodaira dimension === | |||
== Kodaira dimension 0 === | |||
== Kodaira dimension 1 === | |||
== Kodaira dimension 2 === | |||
== References == | == References == | ||
A. Beauville Complex algebraic surfaces ISBN 0521498422 | *A. Beauville Complex algebraic surfaces ISBN 0521498422 | ||
W. Barth, C. Peters, and A. Van de Ven Compact Complex Surfaces | *W. Barth, C. Peters, and A. Van de Ven Compact Complex Surfaces | ||
P. Griffithis and J. Harris Principles of Algebraic Geometry. Chapter 4 | *P. Griffithis and J. Harris Principles of Algebraic Geometry. Chapter 4 | ||
[[Category:Mathematics Workgroup]] | [[Category:Mathematics Workgroup]] | ||
[[Category:CZ Live]] | [[Category:CZ Live]] |
Revision as of 12:07, 17 March 2007
An algebraic surface over a field is a two dimensional algebraic variety over this field.
Examples
Classification
Invariants
The Picard group
Negative Kodaira dimension =
Kodaira dimension 0 =
Kodaira dimension 1 =
Kodaira dimension 2 =
References
- A. Beauville Complex algebraic surfaces ISBN 0521498422
- W. Barth, C. Peters, and A. Van de Ven Compact Complex Surfaces
- P. Griffithis and J. Harris Principles of Algebraic Geometry. Chapter 4