2 problems

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Sturmfels–Sullivant's conjecture for cut algebras
Sturmfels–Sullivant's conjecture. The following statements are equivalent:
Conjectureopencommutative-algebra cut-polytopes toric-algebrasarXiv posted 2 days ago
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The IDP conjecture for s-lecture hall simplices
Let $s=(s1, obreakldots,sn)$ be a sequence of positive integers, and let the $s$ -lecture hall simplex be … A polytope $P\subset\mathbb{R}^n$ has the integer decomposition property…
Conjectureopeninteger-decomposition-property lecture-hall-polytopes toric-algebrasarXiv posted 2 days ago

Sturmfels–Sullivant's conjecture for cut algebras