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Greenlees-May duality in a nutshell [PDF]

Surveys in Mathematics and its Applications, 2019
This expository article delves deep into Greenlees-May Duality which is widely thought of as a far-reaching generalization of Grothendieck's Local Duality.
Hossein Faridian
doaj  

The Poincaré-Shannon Machine: Statistical Physics and Machine Learning Aspects of Information Cohomology

Entropy, 2019
Previous works established that entropy is characterized uniquely as the first cohomology class in a topos and described some of its applications to the unsupervised classification of gene expression modules or cell types.
Pierre Baudot
doaj   +1 more source

LOCAL SYSTEMS ON COMPLEMENTS OF ARRANGEMENTS OF SMOOTH, COMPLEX ALGEBRAIC HYPERSURFACES

Forum of Mathematics, Sigma, 2018
We consider smooth, complex quasiprojective varieties $U$ that admit a compactification with a boundary, which is an arrangement of smooth algebraic hypersurfaces. If the hypersurfaces intersect locally like hyperplanes,
GRAHAM DENHAM, ALEXANDER I. SUCIU
doaj   +1 more source

COFINITENESS AND ARTINIANNESS OF GENERALIZED LOCAL COHOMOLOGY MODULES

Romanian Journal of Mathematics and Computer Science, 2015
Let R be a commutative Noetherian ring, a and b ideals of R and let M and N be two finitely generated R-modules. In this paper, we study the cofiniteness of H_b^j(H_a^i(M, N)) in several cases.
FATEMEH DEHGHANI-ZADEH
doaj  

Maps on the Mirror Heisenberg–Virasoro Algebra

Mathematics
Using the first cohomology from the mirror Heisenberg–Virasoro algebra to the twisted Heisenberg algebra (as the mirror Heisenberg–Virasoro algebra module), in this paper, we determined the derivations on the mirror Heisenberg–Virasoro algebra.
Xuelian Guo, Ivan Kaygorodov, Liming Tang   +2 more
doaj   +1 more source

Off-shell fields and conserved currents

Physics Letters B
We study interactions of higher-spin massless fields φ with conserved currents multilinear in the off-shell matter fields ϕ. Specifically, we focus on the 3d case where a slight modification of the σ−-cohomology technique developed earlier is directly ...
E.O. Spirin, M.A. Vasiliev
doaj   +1 more source

Hodge–Lyubeznik numbers

Comptes Rendus. Mathématique
We define a Hodge-theoretical refinement of the Lyubeznik numbers for local rings of complex algebraic varieties. We prove that these numbers are independent of the choices made in their definition and that, for the local ring of an isolated singularity,
García López, Ricardo, Sabbah, Claude
doaj   +1 more source

Generalized Local Homology Modules of Complexes

پژوهش‌های ریاضی, 2017
The theory of local homology modules was initiated by Matlis in 1974. It is a dual version of the theory of local cohomology modules. Mohammadi and Divaani-Aazar (2012) studied the connection between local homology and Gorenstein flat modules by using ...
Fatemeh Mohammadi
doaj  

Globalization of Perturbative Chern-Simons Theory on the Moduli Space of Flat Connections in the BV Formalism. [PDF]

Commun Math Phys
Mnev P, Wernli K.
europepmc   +1 more source

Topological groupoids with involution and real algebraic stacks. [PDF]

Manuscr Math
Ambrosi E, Fortman OG.
europepmc   +1 more source