منابع مشابه
On Admissible Rank One Local Systems
A rank one local system L on a smooth complex algebraic variety M is 1-admissible if the dimension of the first cohomology group H(M,L) can be computed from the cohomology algebra H∗(M, C) in degrees ≤ 2. Under the assumption that M is 1-formal, we show that all local systems, except finitely many, on a non-translated irreducible component W of the first characteristic variety V1(M) are 1-admis...
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In this note we prove that if K is a compact set of m×n matrices containing an isolated point X with no rank-one connection into the convex hull of K \ {X}, then the rank-one convex hull separates as K = ( K \ {X} )rc ∪ {X}. This is an extension of a result of P. Pedregal, which holds for 2× 2 matrices.
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The twistor space of representations on an open variety maps to a weight two space of local monodromy transformations around a divisor component at infinty. The space of σ-invariant sections of this slope-two bundle over the twistor line is a real 3 dimensional space whose parameters correspond to the complex residue of the Higgs field, and the real parabolic weight of a harmonic bundle.
متن کاملRank One Eisenstein Cohomology of Local Systems on the Moduli Space of Abelian Varieties
We give a formula for the Eisenstein cohomology of local systems on the partial compactification of the moduli of principally polarized abelian varieties given by rank 1 degenerations.
متن کامل$G$-Weights and $p$-Local Rank
Let $k$ be field of characteristic $p$, andlet $G$ be any finite group with splitting field $k$. Assume that $B$ is a $p$-block of $G$.In this paper, we introduce the notion of radical $B$-chain $C_{B}$, and we show that the $p$-local rank of $B$ is equals the length of $C_{B}$. Moreover, we prove that the vertex of a simple $kG$-module $S$ is radical if and only if it has the same vertex of th...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2009
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2008.01.039