Gauß-Manin determinant connections and periods for irregular connections

Details Gauß-Manin determinant connections and periods for irregular connections Gauß-Manin determinant connections and periods for irregular connections

1999-12-12

arxiv.org/abs/math/9912095v1

Mathematics

Algebraic Geometry

32 pages, latex 2e

Scientific paper

Gau{\ss}-Manin determinant connections associated to irregular connections on a curve are studied. The determinant of the Fourier transform of an irregular connection is calculated. The determinant of cohomology of the standard rank 2 Kloosterman sheaf is computed modulo 2 torsion. Periods associated to irregular connections are studied in the very basic $\exp(f)$ case, and analogies with the Gau{\ss}-Manin determinant are discussed.

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