The volume polynomial of lattice polygons
DOI10.1090/proc/16938MaRDI QIDQ6658174
Evgenia Soprunova, Ivan Soprunov
Publication date: 8 January 2025
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
mixed volumeintersection numbertropical curvelattice polytopevolume polynomialtoric surfaceinteger quadratic form
Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Mixed volumes and related topics in convex geometry (52A39) Quadratic forms (reduction theory, extreme forms, etc.) (11H55) Foundations of tropical geometry and relations with algebra (14T10)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- The Magma algebra system. I: The user language
- Eine Frage über konvexe Körper.
- Volumen und Oberfläche.
- Classification of triples of lattice polytopes with a given mixed volume
- Der Wertvorrat der gemischten Inhalte von zwei, drei und vier ebenen Eibereichen.
- Introduction to Toric Varieties. (AM-131)
- Inequalities between mixed volumes of convex sets
- On convex lattice polygons
- Toric varieties
- Convex Bodies The Brunn-MinkowskiTheory
- INEQUALITIES BETWEEN MIXED VOLUMES OF CONVEX BODIES: VOLUME BOUNDS FOR THE MINKOWSKI SUM
- Plücker-Type Inequalities for Mixed Areas and Intersection Numbers of Curve Arrangements
This page was built for publication: The volume polynomial of lattice polygons
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6658174)
