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Bivariate hypergeometric D-modules |
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| Authors: | Alicia Dickenstein Laura Felicia Matusevich Timur Sadykov |
| Institution: | a Dto. de Matemática, FCEyN, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina b Department of Mathematics, Harvard University, Cambridge, MA 02138, USA c Department of Mathematics, The University of Western Ontario, London, Ontario, N6A 5B7, Canada |
| Abstract: | We undertake the study of bivariate Horn systems for generic parameters. We prove that these hypergeometric systems are holonomic, and we provide an explicit formula for their holonomic rank as well as bases of their spaces of complex holomorphic solutions. We also obtain analogous results for the generalized hypergeometric systems arising from lattices of any rank. |
| Keywords: | primary 32C38 33C70 secondary 35N10 33C65 14M25 |
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