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Datagraphs in Algebraic Geometry and K3 Surfaces

  • Gavin Brown
Conference paper
  • 388 Downloads
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2630)

Abstract

Datagraphs are combinatorial graphs having database items at their vertices and geometric relationships along their edges. I describe their applicability to lists of examples in algebraic geometry generated by computer algebra, and illustrate this with a list of K3 surfaces as the database items. The main point is that when analysing a single surface during construction of the database, the datagraph makes available its close relations, and that very often these provide extra information required to complete the analysis.

Keywords

Algebraic Geometry Planar Graph Hilbert Series Combinatorial Graph Homogeneous Coordinate Ring 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Gavin Brown
    • 1
  1. 1.Mathematics InstituteUniversity of WarwickCoventryUK

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