Monodromies at infinity of confluent A-hypergeometric functions
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We study the monodromies at infinity of confluent A-hypergeometric functions introduced by Adolphson. In particular, we extend the result of the third author for non-confluent A-hypergeometric functions to the confluent case. The integral representation by rapid decay homology cycles will play a central role in the proof.
18 pages, to appear in Advances in Mathematics
- University of Tsukuba Japan
- National Research University Higher School of Economics Russian Federation
rapid decay homology, monodromy, \(A\)-hypergeometric functions, Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs, Other hypergeometric functions and integrals in several variables, Mathematics - Algebraic Geometry, \(\mathcal D\)-modules, irregular singularities, Structure of families (Picard-Lefschetz, monodromy, etc.), Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects), FOS: Mathematics, 14M25, 32S40, 32S60, 33C15, 35A27, Toric varieties, Newton polyhedra, Okounkov bodies, Algebraic Geometry (math.AG), Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects)
rapid decay homology, monodromy, \(A\)-hypergeometric functions, Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs, Other hypergeometric functions and integrals in several variables, Mathematics - Algebraic Geometry, \(\mathcal D\)-modules, irregular singularities, Structure of families (Picard-Lefschetz, monodromy, etc.), Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects), FOS: Mathematics, 14M25, 32S40, 32S60, 33C15, 35A27, Toric varieties, Newton polyhedra, Okounkov bodies, Algebraic Geometry (math.AG), Monodromy; relations with differential equations and \(D\)-modules (complex-analytic aspects)
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