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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
11
votes
Gröbner basis for Sudoku
Here is a Singular Code that works quite well:
ring A = 0,(t,x(1..9)),lp;
/* Characteristic 0 works suprisingly well for this problem. */
/* We choose a lexicographic ordering since we will compute a …
6
votes
Can Gröbner bases be used to compute solutions to large, real-world problems?
Concerning your questions 1 and 4, you should also have a look at border bases:
http://www.risc.jku.at/Groebner-Bases-Bibliography/gbbib_files/publication_1140.pdf
5
votes
Accepted
Computing a determinantal representation of a bivariate polynomial
This is discussed in a recent work of Plaumann, Sturmfels and Vinzant:
http://arxiv.org/abs/1011.6057
3
votes
Accepted
does anyone have a copy of schmid's effective work on hilbert 17th?
Here is a copy:
http://math.usask.ca/fvk/schmid.ps