Results 51 to 60 of about 769,852 (175)

Maximal Cohen-Macaulay tensor products and vanishing of Ext modules [PDF]

, 2022
In this paper, we investigate the maximal Cohen-Macaulay property of tensor products of modules, and then give criteria for projectivity of modules in terms of vanishing of Ext modules.
Otake, Yuya, Kimura, Kaito, Takahashi, Ryo   +2 more
core   +1 more source

The geometry of zonotopal algebras II: Orlik–Terao algebras and Schubert varieties

Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.
Abstract Zonotopal algebras, introduced by Postnikov–Shapiro–Shapiro, Ardila–Postnikov, and Holtz–Ron, show up in many different contexts, including approximation theory, representation theory, Donaldson–Thomas theory, and hypertoric geometry. In the first half of this paper, we construct a perfect pairing between the internal zonotopal algebra of a ...
Colin Crowley, Nicholas Proudfoot
wiley   +1 more source

Maximally generated Cohen-Macaulay modules.

MATHEMATICA SCANDINAVICA, 1987
Let R be a CM local or homogeneous ring and \({\mathfrak m}\) its maximal ideal, respectively its irrelevant maximal ideal. A finitely generated R- module M is a MCM if \(depth_{{\mathfrak m}}M=\dim (R)\). A MCM R-module M is a MGMCM if its minimal number of generators coincides with the multiplicity e(M) of M.
Ulrich, B., Herzog, J., Brennan, J.P.
openaire   +3 more sources

Measuring birational derived splinters

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract This work is concerned with categorical methods for studying singularities. Our focus is on birational derived splinters, which is a notion that extends the definition of rational singularities beyond varieties over fields of characteristic zero. Particularly, we show that an invariant called ‘level’ in the associated derived category measures
Timothy De Deyn, Pat Lank, Kabeer Manali Rahul, Sridhar Venkatesh   +3 more
wiley   +1 more source

Structural Properties of The Clifford–Weyl Algebra ${𝒜}_q^{\pm }$

Mathematics
The Clifford–Weyl algebra 𝒜q±, as a class of solvable polynomial algebras, combines the anti-commutation relations of Clifford algebras 𝒜q+ with the differential operator structure of Weyl algebras 𝒜q−. It exhibits rich algebraic and geometric properties.
Jia Zhang, Gulshadam Yunus
doaj   +1 more source

Indecomposable Cohen-Macaulay modules and their multiplicities [PDF]

Transactions of the American Mathematical Society, 1991
The main aim of this paper is to find a large class of rings for which there are indecomposable maximal Cohen-Macaulay modules of arbitrary high multiplicity (or rank in the case of domains).
openaire   +1 more source

Polymatroidal tilings and the Chow class of linked projective spaces

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract Linked projective spaces are quiver Grassmannians of constant dimension one of certain quiver representations, called linked nets, over certain quivers, called Zn$\mathbb {Z}^n$‐quivers. They were recently introduced as a tool for describing schematic limits of families of divisors.
Felipe de Leon, Eduardo Esteves
wiley   +1 more source

On the Structure and Homological Regularity of the q-Heisenberg Algebra

Axioms
The q-Heisenberg algebra hn(q) is a significant class of solvable polynomial algebras, and it unifies the canonical commutation relations of Heisenberg algebras and the deformation theory of quantum groups. In this paper, we employ Gröbner-Shirshov basis
Yabiao Wang, Gulshadam Yunus
doaj   +1 more source

GCD inequalities arising from codimension‐2 blowups

Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract Assuming a deep Diophantine geometry conjecture by Vojta, Silverman proved an inequality giving an upper bound for the greatest common divisor (GCD). In this paper, we unconditionally prove a weaker version of this inequality. The main ingredient is the Ru–Vojta theory, which provides an efficient method of using Schmidt subspace theorem.
Yu Yasufuku
wiley   +1 more source

Initially Cohen–Macaulay Modules

New Mathematics and Natural Computation
In this paper, we introduce initially Cohen–Macaulay modules over a commutative Noetherian local ring [Formula: see text], a new class of [Formula: see text]-modules that generalizes both Cohen–Macaulay and sequentially Cohen–Macaulay modules. A finitely generated [Formula: see text]-module [Formula: see text] is initially Cohen–Macaulay if its depth ...
openaire   +2 more sources