Abstract configurations in algebraic geometry

I. Dolgachev

Abstract configurations in algebraic geometry

Algebraic Geometry 2007-05-23 v1 Combinatorics

Authors: I. Dolgachev

Abstract

An abstract $(v_k,b_r)$ -configuration is a pair of finite sets of cardinalities $v$ and $b$ with a relation on the product of the sets such that each element of the first set is related to the same number $k$ of elements from the second set and each element of the second set is related to the same number $r$ of elements in the first set. An example of an abstract configuration is a finite geometry. In this paper we discuss some examples of abstract configurations and, in particular finite geometries, which one encounters in algebraic geometry.

Keywords

algebraic geometry simplicial complexes finite-dimensional algebras

Cite

@article{arxiv.math/0304258,
  title  = {Abstract configurations in algebraic geometry},
  author = {I. Dolgachev},
  journal= {arXiv preprint arXiv:math/0304258},
  year   = {2007}
}

Comments

39 pages, 12 figures

Abstract configurations in algebraic geometry

Abstract

Keywords

Cite

Comments

Related papers