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Ideas of Newton-Okounkov bodies

Snapshots of modern mathematics from Oberwolfach

Ideas of Newton-Okounkov bodies

In this snapshot, we will consider the problem of finding the number of solutions to a given system of polynomial equations. This question leads to the theory of Newton polytopes and Newton-Okounkov bodies of which we will give a basic notion.

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Mathematical subjects

Algebra and Number Theory

Connections to other fields

Physics

Author(s)

Valentina Kiritchenko, Evgeny Smirnov, Vladlen Timorin

License

DOI (Digital Object Identifier)

10.14760/SNAP-2015-008-EN

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snapshots: overview

      Mathematical subjects

      Algebra and Number Theory
      Analysis
      Didactics and Education
      Discrete Mathematics and Foundations
      Geometry and Topology
      Numerics and Scientific Computing
      Probability Theory and Statistics

      Connections to other fields

      Chemistry and Earth Science
      Computer Science
      Engineering and Technology
      Finance
      Humanities and Social Sciences
      Life Science
      Physics
      Reflections on Mathematics

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