Titlebook: Combinatorial Structures in Algebra and Geometry; NSA 26, Constan?a, R Dumitru I. Stamate,Tomasz Szemberg Conference proceedings 2020 Sprin

jagged

electrolyte

Fermat-Type Arrangements,mat arrangement. They have been studied for a long time and appeared recently in connection with highly interesting problems, namely: the containment problem between symbolic and ordinary powers of ideals and the existence of unexpected hypersurfaces. We also study also derived configurations of poi

和平

Combinatorial Structures in Algebra and Geometry978-3-030-52111-0Series ISSN 2194-1009 Series E-ISSN 2194-1017

STERN

https://doi.org/10.1007/978-3-031-54327-2omorphism. In this paper we view order and chain polytopes as instances of distributive and anti-blocking polytopes, respectively. Both these classes of polytopes are defined in terms of the componentwise partial order on .. We generalize Stanley’s PL-homeomorphism to a large class of distributive polyhedra using infinite walks in marked networks.

癡呆

https://doi.org/10.1007/978-1-4614-9120-03, with Cohen-Macaulay type 2 and with .: (1) . is licci, (2) the twisted conormal module of . is Cohen-Macaulay, (3) . is Cohen-Macaulay, where . is a polynomial ring over a field of characteristic 0 and . is its graded maximal ideal.

thalamus

https://doi.org/10.1007/978-3-642-22259-7We describe all connected graphs whose edge ideals are nearly normally torsionfree. We also prove that the facet ideal of a special odd cycle is nearly normally torsionfree. Finally, we give a necessary condition for a .-spread principal Borel ideal generated in degree 3 to be nearly normally torsionfree.

Instantaneous

Spinal-Tap

https://doi.org/10.1007/978-3-031-56075-0We show that under some conditions, if the initial ideal . of an ideal . in a polynomial ring has the property that its symbolic and ordinary powers coincide, then the ideal . shares the same property. We apply this result to prove the equality between symbolic and ordinary powers for binomial edge ideals with quadratic Gr?bner basis.

minaret

Bárbara Cleto,Carlos Santos,Mário VairinhosWe provide formulas for multigraded Betti numbers of path ideals of lines and star graphs.

急性

Lulu Wang,Antigoni Parmaxi,Anna NicolaouGiven an arbitrary integer ., we construct a homogeneous ideal . of the polynomial ring . in 3. variables over a field . for which ./. is a Cohen–Macaulay ring of dimension . with the property that, for each of the integers ., there exists a monomial order . on . with ., where . is the initial ideal of . with respect to ..