Gauss-Manin connections for arrangements, IV. Nonresonant eigenvalues | Zendy

Daniel C. Cohen | Zendy; Peter Orlik | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Gauss-Manin connections for arrangements, IV. Nonresonant eigenvalues

Author(s) -

Daniel C. Cohen,

Peter Orlik

Publication year - 2006

Publication title -

commentarii mathematici helvetici

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.603

H-Index - 46

eISSN - 1420-8946

pISSN - 0010-2571

DOI - 10.4171/cmh/79

Subject(s) - mathematics , hyperplane , complement (music) , connection (principal bundle) , eigenvalues and eigenvectors , affine space , rank (graph theory) , pure mathematics , affine transformation , moduli space , cohomology , endomorphism , finite set , gauss , combinatorics , algebra over a field , discrete mathematics , mathematical analysis , geometry , biochemistry , chemistry , physics , quantum mechanics , complementation , gene , phenotype

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 complex weights for the hyperplanes. We study the Gauss-Manin connection for the moduli space of arrangements of fixed combinatorial type in the cohomology of the complement with coefficients in the local system determined by the weights. For nonresonant weights, we solve the eigenvalue problem for the endomorphisms arising in the $1$-form associated to the Gauss-Manin connection

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research