What can be computed in algebraic geometry?
classification
alg-geom
math.AG
keywords
algebraicbasesgeometrygrobnerintroductionregularityapplicationsattention
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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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