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Diagonal splittings of toric varieties and unimodularity

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Publication:4604670
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DOI10.1090/proc/13902zbMath1420.14118arXiv1612.09208OpenAlexW2562056778MaRDI QIDQ4604670

Sam Payne, Jed Chou, Ben Whitney, Rebecca Tramel, Milena Hering

Publication date: 5 March 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.09208



Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Integer programming (90C10) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)


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Cites Work

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  • Quadratic Gröbner bases for smooth \(3\times 3\) transportation polytopes
  • Frobenius splittings of toric varieties
  • Rational and integral \(k\)-regular matrices.
  • Frobenius splitting methods in geometry and representation theory
  • Lattice polytopes cut out by root systems and the Koszul property
  • Globally F-regular varieties: Applications to vanishing theorems for quotients of Fano varieties
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