On robustness and related properties on toric ideals
DOI10.1007/s10801-022-01162-xOpenAlexW4293817275MaRDI QIDQ2688243
Christos Tatakis, Ignacio García-Marco
Publication date: 2 March 2023
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.13136
toric varietiesfree semigroupscomplete intersectionGraver basisKoszul ringsaffine semigroupsquadratic idealsrobust idealsuniversal Gröbner basistoric ideals of graphsBetti divisibleBetti elementgeneralized robust ideals
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Commutative semigroups (20M14) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structure, classification theorems for modules and ideals in commutative rings (13C05) Quadratic and Koszul algebras (16S37)
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- Constructing the set of complete intersection numerical semigroups with a given Frobenius number.
- On complete intersection toric ideals of graphs
- Robust toric ideals
- Complete intersections in simplicial toric varieties
- On the universal Gröbner bases of toric ideals of graphs
- Minimal generators of toric ideals of graphs
- The circuit ideal of a vector configuration
- Generalized robust toric ideals
- Robust graph ideals
- Markov bases and generalized Lawrence liftings
- Indispensable monomials of toric ideals and Markov bases
- Ring graphs and complete intersection toric ideals
- Noetherian symbolic blow-ups
- On the equations of the edge cone of a graph and some applications
- On free affine semigroups
- Toric ideals generalized by quadratic binomials
- Bouquet algebra of toric ideals
- Algebraic algorithms for sampling from conditional distributions
- Binomial ideals
- Hypergraph encodings of arbitrary toric ideals
- Classes of complete intersection numerical semigroups.
- Minimal generating sets of lattice ideals
- Minimal graded free resolutions for monomial curves defined by arithmetic sequences
- An algorithm for checking whether the toric ideal of an affine monomial curve is a complete intersection
- Complete intersections in affine monomial curves
- An indispensable classification of monomial curves in \(\mathbb{A}^4(k)\)
- Generators and relations of abelian semigroups and semigroup rings
- Toric Ideals Generated by Circuits
- Isolated factorizations and their applications in simplicial affine semigroups
- Sous-monoïdes d'intersection complète de $N$
- Critical binomials of monomial curves
- Rees algebras of edge ideals
- AFFINE SEMIGROUPS HAVING A UNIQUE BETTI ELEMENT
- Monomial Algebras
- Strongly Robust Toric Ideals in Codimension 2
- Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes
- Numerical semigroups and applications
- The closure of a linear space in a product of lines
