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ON HECKE ALGEBRA ISOMORPHISMS AND TYPES FOR DEPTH-ZERO PRINCIPAL SERIES
HECKE ALGEBRA ISOMORPHISMS DEPTH-ZERO PRINCIPAL SERIES
2015/9/29
These lectures describe Hecke algebra isomorphisms and types for depth-zero
principal series blocks, a.k.a. Bernstein components Rs(G) for s = sχ = [T, χe]G, where χ
is a depth-zero character on T(O...
Vanishing of Tate homology and depth formulas over local rings
AB ring complete intersection ring depth formula Gorenstein ring rigidity of Tor Tate homology
2011/9/9
Abstract: Auslander's depth formula for pairs of Tor-independent modules over a regular local ring,
depth(M \otimes N) = depth(M) + depth(N) - depth(R),
has been generalized in several directions ...
Depth and minimal number of generators of square free monomial ideals
Monomial Ideals Depth Stanley depth Commutative Algebra
2011/9/5
Abstract: Let $I$ be an ideal of a polynomial algebra $S$ over a field generated by square free monomials of degree $\geq d$. If $I$ contains more monomials of degree $d$ than $(d+1)/d$ of the total n...
Depth of edge rings arising from finite graphs
edge ring toric ideal finite graph Gr¨obner basis initial ideal
2010/12/1
Let G be a finite graph and K[G] the edge ring of G. Based on the technique of Gr¨obner bases and initial ideals, it will be proved that, given integers f and d with 7 f d, there exists a finite g...
3D HYBRID DEPTH MIGRATION AND FOUR-WAY SPLITTING SCHEMES
3D depth migration Multiway splitting Data line Wavefield computation Finite-difference Hybrid method
2007/12/12
The alternately directional implicit (ADI) scheme is usually
used in 3D depth migration. It
splits the 3D square-root operator along crossline and inline
directions alternately.
In this paper, bas...