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Global residues for sparse polynomial systems

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Publication:869214
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DOI10.1016/j.jpaa.2006.06.012zbMath1107.14042arXivmath/0511684OpenAlexW2012247071MaRDI QIDQ869214

Ivan Soprunov

Publication date: 26 February 2007

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0511684



Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25)


Related Items

Families of lattice polytopes of mixed degree one ⋮ The mixed degree of families of lattice polytopes



Cites Work

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  • Newton polyhedra and toroidal varieties
  • The number of roots of a system of equations
  • A global view of residues in the torus
  • Combinatorial construction of toric residues.
  • Introduction to Toric Varieties. (AM-131)
  • NEWTON POLYHEDRA AND THE EULER-JACOBI FORMULA
  • Decompositions of Rational Convex Polytopes
  • Macaulay style formulas for toric residues
  • Computing Multidimensional Residues
  • Codimension theorems for complete toric varieties
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