Results 101 to 110 of about 2,135 (235)

Local Cohomology at Monomial Ideals

open access: yesJournal of Symbolic Computation, 2000
For a reduced monomial ideal B in R=k[X_1,...,X_n], we write H^i_B(R) as the union of {Ext^i(R/B^[d],R)}_d, where {B^[d]}_d are the "Frobenius powers of B". We describe H^i_B(R)_p, for every p in Z^n, in the spirit of the Stanley-Reisner theory. As a first application we give an isomorphism Tor_i(B', k)_p\iso Ext^{|p|-i}(R/B,R)_{-p} for all p in {0,1 ...
openaire   +3 more sources

Chern classes in equivariant bordism

open access: yesForum of Mathematics, Sigma
We introduce Chern classes in $U(m)$ -equivariant homotopical bordism that refine the Conner–Floyd–Chern classes in the $\mathbf {MU}$ -cohomology of $B U(m)$ .
Stefan Schwede
doaj   +1 more source

Generalized Local Homology Modules of Complexes

open access: yesپژوهش‌های 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  

Orthogonality relations for deep level Deligne–Lusztig schemes of Coxeter type

open access: yesForum of Mathematics, Sigma
In this paper, we prove some orthogonality relations for representations arising from deep level Deligne–Lusztig schemes of Coxeter type. This generalizes previous results of Lusztig [Lus04], and of Chan and the second author [CI21b].
Olivier Dudas, Alexander B. Ivanov
doaj   +1 more source

Local Cohomology of Analytic Spaces

open access: yesPublications of the Research Institute for Mathematical Sciences, 1976
The purpose of this paper is to show that the local cohomology of a complex analytic space embedded in a complex manifold is a holonomic system of linear differential equations of infinite order and its holomorphic solution sheaves are a resolution of the constant sheaf \boldsymbol C
openaire   +2 more sources

Group approach to geometric quantization of two physical groups

open access: yesAPL Quantum
Physical systems as a rule are associated with a symmetry group. One way of quantizing the system is to use this symmetry group to construct a geometric form of quantization procedure.
Paul Bracken
doaj   +1 more source

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