Results 101 to 110 of about 2,135 (235)
Local Cohomology at Monomial Ideals
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 ...
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On endomorphism rings and dimensions of local cohomology modules [PDF]
Peter Schenzel
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Chern classes in equivariant bordism
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
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Glenn Barnich, Nicolas Boulanger
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Generalized Local Homology Modules of Complexes
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
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Orthogonality relations for deep level Deligne–Lusztig schemes of Coxeter type
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
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A note on weakly proregular sequences and local cohomology [PDF]
Ryoya Ando
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Local Cohomology of Analytic Spaces
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
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Regularity of 𝐅𝐈-modules and local cohomology [PDF]
Rohit Nagpal, Steven Sam, Andrew Snowden
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Group approach to geometric quantization of two physical groups
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
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