Cohen-Macaulay representations of invariant subrings

R Tomonaga - arXiv preprint arXiv:2403.19282, 2024 - arxiv.org
Cohen-Macaulay type over arbitrary fields in dimension two. In this paper, we investigate
Cohen-Macaulay representations … results on Cohen-Macaulay representations of quotient …

Exact categories, big Cohen-Macaulay modules and finite representation type

C Psaroudakis, W Rump - Journal of Pure and Applied Algebra, 2022 - Elsevier
… In this paper, we investigate aspects of representation-finiteness in the general context of …
a Cohen-Macaulay order over a complete regular local ring is of finite representation type. …

Cohen-Macaulay representations of Artin-Schelter Gorenstein algebras of dimension one

O Iyama, Y Kimura, K Ueyama - arXiv preprint arXiv:2404.05925, 2024 - arxiv.org
… The aim of this paper is to study Cohen-Macaulay representations of a large class of
noncommutative Ngraded Gorenstein rings, called Artin-Schelter Gorenstein algebras A (Definition …

[PDF][PDF] Studies on various conditions on CohenMacaulay rings and modules, with applications to the representation theory of maximal CohenMacaulay modules

T Kobayashi - (No Title), 2020 - nagoya.repo.nii.ac.jp
… in the representation theory of algebras. We explore suitable restrictions on maximal
CohenMacaulay modules to develop the representation theory of CohenMacaulay rings in …

Cohen-Macaulay property of Feynman integrals

F Tellander, M Helmer - Communications in Mathematical Physics, 2023 - Springer
… an explicit series representation for the Feynman integral in one of the seven Gröbner
cones, the same procedure can be used to obtain an explicit representation in the other cones. …

Cohen-Macaulay differential graded modules and negative Calabi-Yau configurations

H Jin - Advances in Mathematics, 2020 - Elsevier
… introduce Cohen-Macaulay dg modules over dg algebras and develop their representation
… One of the main properties of the category of Cohen-Macaulay dg modules is that it has a …

Krull--Gabriel dimension of Cohen--Macaulay modules over hypersurfaces of countable Cohen--Macaulay representation type

N Hiramatsu - arXiv preprint arXiv:2112.13504, 2021 - arxiv.org
… of countable CohenMacaulay representation type. … CohenMacaulay representation type
and that is 2 if the hypersurface is of countable but not finite CohenMacaulay representation

Terminal 3-folds that are not Cohen-Macaulay

B Totaro - arXiv preprint arXiv:2407.02608, 2024 - arxiv.org
… formally isomorphic to a linear action, since a nonzero representation V of a p-group G in …
), it is common for W/G not to be Cohen-Macaulay, essentially because the cohomology of G …

Non-commutative resolutions for Segre products and Cohen-Macaulay rings of hereditary representation type

N Hanihara - arXiv preprint arXiv:2303.14625, 2023 - arxiv.org
… of Cohen-Macaulay representations which can be seen as “next simple” from finite representation
… We introduce the notion of hereditary representation type, construct some examples of …

[PDF][PDF] Govorov–Lazard type theorems, big CohenMacaulay modules, and CohenMacaulay hearts

T Nakamura - … on Ring Theory and Representation Theory, 2023 - ring-theory-japan.com
… An R -module M is called (balanced) big CohenMacaulay if every system of parameters
of R is an M -regular sequence. We call an R -module M a weak big CM (= CohenMacaulay) …