Proves if-and-only-if equivalences for toric ring normality and quadratic toric ideal generation between anti-blocking lattice polytopes and their unconditional reflections, plus a graph-theoretic characterization of quadratic symmetric stable set ideals.
Monomial ideals , SERIES =
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
citation-role summary
background 1
method 1
citation-polarity summary
years
2026 3verdicts
UNVERDICTED 3representative citing papers
Gorenstein simplices with the given h*-polynomial are classified up to unimodular equivalence by strict divisor chains in the divisor lattice of v, yielding an explicit counting formula.
Cochordal zero-divisor graphs of chain rings admit refined Betti formulas yielding 2-linear resolutions for the studied quotient rings.
citing papers explorer
-
Algebraic aspects of unconditional lattice polytopes
Proves if-and-only-if equivalences for toric ring normality and quadratic toric ideal generation between anti-blocking lattice polytopes and their unconditional reflections, plus a graph-theoretic characterization of quadratic symmetric stable set ideals.
-
Classification and counting of Gorenstein simplices with $h^*$-polynomial $1+t^k+\cdots+t^{(v-1)k}$
Gorenstein simplices with the given h*-polynomial are classified up to unimodular equivalence by strict divisor chains in the divisor lattice of v, yielding an explicit counting formula.
-
Betti numbers for cochordal zero-divisor graphs of commutative rings
Cochordal zero-divisor graphs of chain rings admit refined Betti formulas yielding 2-linear resolutions for the studied quotient rings.