Titlebook: Homological and Computational Methods in Commutative Algebra; Dedicated to Winfrie Aldo Conca,Joseph Gubeladze,Tim Römer Book 2017 Springer

皱痕

Betti Diagrams with Special Shape,condition for the maximal shifts in the resolution by obvious reasons, and they appear quite frequently in combinatorial contexts. Examples of ideals with special shape are the edge ideal as well as the vertex cover ideal of chordal graphs, whisker graphs and triangulated .-uniform hypergraphs.

替代品

Koszul Algebras Defined by Three Relations,n proposed that when . is Koszul the .th Betti number of . over . is at most ., where . is the number of generators of .; in particular, the projective dimension of . over . is at most .. The main result of this work settles this question, in the affirmative, when . ≤ 3.

keloid

The Cayley Trick for Tropical Hypersurfaces with a View Toward Ricardian Economics, systematic study of arrangements of tropical hypersurfaces and, in particular, arrangements of tropical hyperplanes. A recent application to the Ricardian theory of trade from mathematical economics is explored.

Yourself

Homological Conjectures and Lim Cohen-Macaulay Sequences,ontent for local cohomology modules. We relate both to the problem of proving the direct summand conjecture and other homological conjectures without using almost ring theory and perfectoid space theory, and we also indicate some other open problems whose solution would yield a new proof of the direct summand conjecture.

使坚硬

About Multiplicities and Applications to Bezout Numbers,t . for .. It follows that ., where .. The main results of the report are a discussion when . resp. to describe the value of . in some particular cases. Applications concern results on the multiplicity . and applications to Bezout numbers.

缝纫

https://doi.org/10.1007/978-3-319-61943-9Syzygies; Toric rings; Koszul rings; Hilbert functions; Determinantal rings; combinatorics

CANDY

马具

Homological and Computational Methods in Commutative Algebra978-3-319-61943-9Series ISSN 2281-518X Series E-ISSN 2281-5198

难取悦

Some Algebras with the Weak Lefschetz Property,Using a connection to lozenge tilings of triangular regions, we establish an easily checkable criterion that guarantees the weak Lefschetz property of a quotient by a monomial ideal in three variables. It is also shown that each such ideal also has a semistable syzygy bundle.

传染

A Stronger Local Monomialization Theorem,In this article we prove stronger versions of local monomialization.