Rank One Local Systems and Forms of Degree One
نویسندگان
چکیده
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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متن کاملOn the Local Structure of Rank-one Convex Hulls
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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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2015
ISSN: 1073-7928,1687-0247
DOI: 10.1093/imrn/rnv244