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
Senior Editor:
Carla Cederbaum
Junior Editor:
Sabiha Tokus

License

DOI (Digital Object Identifier)

10.14760/SNAP-2015-008-EN

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PDF

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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