Algebraic aspects of hypergeometric differential equations

Author:

Reichelt Thomas,Schulze Mathias,Sevenheck Christian,Walther Uli

Abstract

AbstractWe review some classical and modern aspects of hypergeometric differential equations, including A-hypergeometric systems of Gel$$'$$ fand, Graev, Kapranov and Zelevinsky. Some recent advances in this theory, such as Euler–Koszul homology, rank jump phenomena, irregularity questions and Hodge theoretic aspects are discussed with more details. We also give some applications of the theory of hypergeometric systems to toric mirror symmetry.

Funder

Projekt DEAL

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Algebra and Number Theory

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