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