jagged
发表于 2025-3-23 13:43:27
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electrolyte
发表于 2025-3-23 15:47:36
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
发表于 2025-3-23 19:43:09
Combinatorial Structures in Algebra and Geometry978-3-030-52111-0Series ISSN 2194-1009 Series E-ISSN 2194-1017
STERN
发表于 2025-3-24 01:51:18
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.
痴呆
发表于 2025-3-24 02:34:00
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
发表于 2025-3-24 09:49:01
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
发表于 2025-3-24 10:48:52
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Spinal-Tap
发表于 2025-3-24 18:20:04
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 Gröbner basis.
minaret
发表于 2025-3-24 22:44:41
Bárbara Cleto,Carlos Santos,Mário VairinhosWe provide formulas for multigraded Betti numbers of path ideals of lines and star graphs.
急性
发表于 2025-3-25 00:05:04
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 ..