Dimension results for extremal-generic polynomial systems over complete toric varieties
From MaRDI portal
Publication:6196136
DOI10.1016/j.jalgebra.2024.01.029arXiv2305.07439OpenAlexW4376632764MaRDI QIDQ6196136
Pierre-Jean Spaenlehauer, Matías R. Bender
Publication date: 14 March 2024
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2305.07439
Symbolic computation and algebraic computation (68W30) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Solving polynomial systems; resultants (13P15)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Do most polynomials generate a prime ideal?
- A homotopy for solving general polynomial systems that respects m- homogeneous structures
- The number of roots of a system of equations
- On the Newton polytope of the resultant
- Computing mixed discriminants, mixed volumes, and permanents
- Affine solution sets of sparse polynomial systems
- Criteria for strict monotonicity of the mixed volume of convex polytopes
- On the complexity of the \(F_5\) Gröbner basis algorithm
- Unmixing the mixed volume computation
- Computing minimal multi-homogeneous Bezout numbers is hard
- The expected number of real roots of a multihomogeneous system of polynomial equations
- Introduction to Toric Varieties. (AM-131)
- Sparse Gröbner bases
- Toric border basis
- Espaces projectifs anisotropes
- A Polyhedral Method for Solving Sparse Polynomial Systems
- Reducibility among Combinatorial Problems
- Toric eigenvalue methods for solving sparse polynomial systems
- Gröbner Basis over Semigroup Algebras
- Convex Bodies The Brunn-MinkowskiTheory
- Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes
- On the complexity of computing Gröbner bases for weighted homogeneous systems
- Numerical homotopies from Khovanskii bases
This page was built for publication: Dimension results for extremal-generic polynomial systems over complete toric varieties
