Computational Algebraic Geometry

@inproceedings{Schenck2003ComputationalAG,
  title={Computational Algebraic Geometry},
  author={Hal Schenck},
  year={2003}
}
Preface 1. Basics of commutative algebra 2. Projective space and graded objects 3. Free resolutions and regular sequences 4. Groebner bases 5. Combinatorics and topology 6. Functors: localization, hom, and tensor 7. Geometry of points 8. Homological algebra, derived functors 9. Curves, sheaves and cohomology 10. Projective dimension A. Abstract algebra primer B. Complex analysis primer Bibliography. 
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References

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  • W. Vasconcelos
  • Mathematics
    Algorithms and computation in mathematics
  • 1998
TLDR
The author covers a wide range, from showing how to obtain deep heuristics in a computation of a ring, a module or a morphism, to developing means of solving nonlinear systems of equations - highlighting the use of advanced techniques to bring down the cost of computation.
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