Combinatorial excess intersection
Copyright policy )Combinatorial excess intersection
We provide formulas and algorithms for computing the excess numbers of certain ideals. The solution for monomial ideals is given by the mixed volumes of certain polytopes. These results enable us to design specific homotopies for numerical algebraic geometry.
- University of California, Berkeley United States
- University of Notre Dame United States
- Lawrence Berkeley National Laboratory United States
excess intersection, [MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG], Computational aspects in algebraic geometry, Symbolic computation and algebraic computation, Global methods, including homotopy approaches to the numerical solution of nonlinear equations, combinatorics, numerical algebraic geometry, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Newton polytopes, mixed volume
excess intersection, [MATH.MATH-AG] Mathematics [math]/Algebraic Geometry [math.AG], Computational aspects in algebraic geometry, Symbolic computation and algebraic computation, Global methods, including homotopy approaches to the numerical solution of nonlinear equations, combinatorics, numerical algebraic geometry, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO), Newton polytopes, mixed volume
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