1 citations · 1 across the 4 of their papers we have counts for
7 papers · 1 filter
Gauss-Manin connections for arrangements, IV Nonresonant eigenvalues
Daniel C. Cohen, Peter Orlik
An arrangement is a finite set of hyperplanes in a finite dimensional complex affine space. A complex rank one local system on the arrangement complement is determined by a set of…
Gauss-Manin connections for arrangements, III Formal connections
Daniel C. Cohen, Peter Orlik
We study the Gauss-Manin connection for the moduli space of an arrangement of complex hyperplanes in the cohomology of a complex rank one local system. We define formal Gauss-Manin…
Nonresonance conditions for arrangements
D. Cohen, A. Dimca, P. Orlik
We prove a vanishing theorem for the cohomology of the complement of a complex hyperplane arrangement with coefficients in a complex local system. This result is compared with othe…
Gauss-Manin connections for arrangements, II Nonresonant weights
Daniel C. Cohen, Peter Orlik
We study the Gauss-Manin connection for the moduli space of an arrangement of complex hyperplanes in the cohomology of a nonresonant complex rank one local system. Aomoto and Kita…
Gauss-Manin Connections for Arrangements
Daniel C. Cohen, Peter Orlik
We construct a formal connection on the Aomoto complex of an arrangement of hyperplanes, and use it to study the Gauss-Manin connection for the moduli space of the arrangement in t…
Some cyclic covers of complements of arrangements
Daniel C. Cohen, Peter Orlik
Motivated by the Milnor fiber of a central arrangement, we study the cohomology of a family of cyclic covers of the complement of an arbitrary arrangement. We give an explicit proo…