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Gauss-Manin systems of families of Laurent polynomials and A-hypergeometric systems by Reichelt, Thomas; Walther, Uli is a scholarly article available to read on EtoBox.

What is Gauss-Manin systems of families of Laurent polynomials and A-hypergeometric systems about?

In this note we study families of Gauss-Manin systems arising from Laurent polynomials with parametric coefficients under projection to the parameter space. For suitable matrices of exponent vectors, we exhibit a natural four-term exact sequence for which we then give an interpretation via generalized A-hypergeometric systems. We determine the extension groups from the parameter sheaf to the middle term of this sequence and show that the four-term sequence does not split. Auxiliary results include the computation of Ext and Tor groups of A-hypergeometric systems against the parameter sheaf.

Author

Reichelt, Thomas; Walther, Uli

Published

2017

Language

EN