Symbolic powers of monomial ideals and vertex cover algebras
We introduce and study vertex cover algebras of weighted simplicial complexes. These
algebras are special classes of symbolic Rees algebras. We show that symbolic Rees …
algebras are special classes of symbolic Rees algebras. We show that symbolic Rees …
Characterizing Translation-Invariant Bell Inequalities using Tropical Algebra and Graph Polytopes
Nonlocality is one of the key features of quantum physics, which is revealed through the
violation of a Bell inequality. In large multipartite systems, nonlocality characterization …
violation of a Bell inequality. In large multipartite systems, nonlocality characterization …
Multiplicities of classical varieties
The-multiplicity plays an important role in the intersection theory of Stückrad–Vogel cycles,
while recent developments confirm the connections between the-multiplicity and …
while recent developments confirm the connections between the-multiplicity and …
Degree and algebraic properties of lattice and matrix ideals
We study the degree of nonhomogeneous lattice ideals over arbitrary fields, and give
formulas to compute the degree in terms of the torsion of certain factor groups of Z^s and in …
formulas to compute the degree in terms of the torsion of certain factor groups of Z^s and in …
Monomial ideals and the computation of multiplicities
D Delfino, A Taylor, WV Vasconcelos… - … ring theory and …, 2017 - taylorfrancis.com
The theory of the integral closure of ideals has resisted direct approaches to some of its
basic questions (membership and completeness tests, and construction). We mainly treat …
basic questions (membership and completeness tests, and construction). We mainly treat …
Phylogenetic invariants for group-based models
M Donten-Bury, M Michalek - arXiv preprint arXiv:1011.3236, 2010 - arxiv.org
In this paper we investigate properties of algebraic varieties representing group-based
phylogenetic models. We propose a method of generating many phylogenetic invariants. We …
phylogenetic models. We propose a method of generating many phylogenetic invariants. We …
Quantum jumps of normal polytopes
We introduce a partial order on the set of all normal polytopes in\mathbb R^ d R d. This
poset NPol (d) NPol (d) is a natural discrete counterpart of the continuum of convex compact …
poset NPol (d) NPol (d) is a natural discrete counterpart of the continuum of convex compact …
An Introduction to the Theory of Linear Integer Arithmetic
D Chistikov - 44th IARCS Annual Conference on Foundations of …, 2024 - drops.dagstuhl.de
Presburger arithmetic, or linear integer arithmetic (LIA), is a logic that allows one to express
linear constraints on integers: equalities, inequalities, and divisibility by nonzero n∈ ℤ. More …
linear constraints on integers: equalities, inequalities, and divisibility by nonzero n∈ ℤ. More …
[HTML][HTML] Phylogenetic complexity of the Kimura 3-parameter model
M Michałek, E Ventura - Advances in Mathematics, 2019 - Elsevier
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Hilbert polynomial of the Kimura 3-parameter model
K Kubjas - arXiv preprint arXiv:1007.3164, 2010 - arxiv.org
Buczy\'{n} ska and Wi\'{s} niewski showed that for the Jukes Cantor binary model of a 3-
valent tree the Hilbert polynomial depends only on the number of leaves of the tree and not …
valent tree the Hilbert polynomial depends only on the number of leaves of the tree and not …