Differential Invariants of Prehomogeneous Vector Spaces

Beschreibung

Differential invariants of prehomogeneous vector spaces studies in detail two differential invariants of a discriminant divisor of a prehomogeneous vector space. The Bernstein-Sato polynomial and the spectrum, which encode the monodromy and Hodge theoretic informations of an associated Gauss-Manin system. The theoretical results are applied to discriminants in the representation spaces of the Dynkin quivers An, Dn, E6, E7 and three non classical series of quiver representations.

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Christian Barz

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Prehomogeneous vector spaces Spectral numbers Bernstein-Sato polynomials Gauss-Manin system Quiver representations

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