Differential modules defined by systems of equations

zbMath0944.12003MaRDI QIDQ2563965

Alan Adolphson, Steven I. Sperber

Publication date: 10 April 1997

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=RSMUP_1996__95__37_0

zbMATH Keywords

hypergeometric differential equations\({\mathcal D}\)-module of hypergeometric typeDwork cohomology spaces

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Commutative rings of differential operators and their modules (13N10) Differential algebra (12H05)

Cites Work

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• Exponential sums and Newton polyhedra: cohomology and estimates
• Newton polyhedra and toroidal varieties
• The number of roots of a system of equations
• Polyedres de Newton et nombres de Milnor
• Newton polyhedra and the genus of complete intersections
• Hypergeometric functions and rings generated by monomials
• On the differential equations satisfied by period matrices

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