1 citations · 1 across the 4 of their papers we have counts for
8 papers
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…
The Sign Representation for Shephard Groups
Peter Orlik, Victor Reiner, Anne V. Shepler
Shephard groups are unitary reflection groups arising as the symmetries of regular complex polytopes. For a Shephard group, we identify the representation carried by the principal…