Polynomial systems supported on circuits and dessins d'enfants
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Publication:5297563
DOI10.1112/jlms/jdl013zbMath1119.12002arXivmath/0509219OpenAlexW2074835688MaRDI QIDQ5297563
Publication date: 12 July 2007
Published in: Journal of the London Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0509219
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Real algebraic sets (14P05) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10)
Related Items (12)
Constructing polynomial systems with many positive solutions using tropical geometry ⋮ Coamoebas of Polynomials Supported on Circuits ⋮ Characterization of circuits supporting polynomial systems with the maximal number of positive solutions ⋮ Bounds on the number of solutions of polynomial systems and the Betti numbers of real piecewise algebraic hypersurfaces ⋮ Amoebas of genus at most one ⋮ Systems of polynomials with at least one positive real zero ⋮ A Polyhedral Method for Sparse Systems with Many Positive Solutions ⋮ Gale duality for complete intersections ⋮ Topological types of real regular Jacobian elliptic surfaces ⋮ Maximally positive polynomial systems supported on circuits ⋮ A sharp bound on the number of real intersection points of a sparse plane curve with a line ⋮ On the Number of Real Zeros of Random Fewnomials
Cites Work
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- Real plane algebraic curves with asymptotically maximal number of even ovals
- Counting real connected components of trinomial curve intersections and \(m\)-nomial hypersurfaces
- Riemann existence theorem and construction of real algebraic curves.
- Polynomial systems with few real zeroes
- Lower bounds for real solutions to sparse polynomial systems
- TOPOLOGICAL CLASSIFICATION OF GENERIC REAL RATIONAL FUNCTIONS
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