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What can be computed in algebraic geometry?

alg-geom 2015-06-30 v1 代数几何

摘要

This paper is a survey of computational issues in algebraic geometry, with particular attention to the theory of Grobner bases and the regularity of an algebraic variety. 1. A geometric introduction to Grobner bases. 2. An algebraic introduction to Grobner bases. 3. Bounds in algebraic geometry, and regularity and complexity questions. 4. Applications.

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引用

@article{arxiv.alg-geom/9304003,
  title  = {What can be computed in algebraic geometry?},
  author = {Dave Bayer and David Mumford},
  journal= {arXiv preprint arXiv:alg-geom/9304003},
  year   = {2015}
}

备注

56 pages, Latex