Search Results - "Sevenheck, Christian"

Algebraic aspects of hypergeometric differential equations by Reichelt, Thomas, Schulze, Mathias, Sevenheck, Christian, Walther, Uli

“…We review some classical and modern aspects of hypergeometric differential equations, including A -hypergeometric systems of Gel ′ fand, Graev, Kapranov and…”
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Hodge ideals of free divisors by Castaño Domínguez, Alberto, Narváez Macarro, Luis, Sevenheck, Christian

“…We consider the Hodge filtration on the sheaf of meromorphic functions along free divisors for which the logarithmic comparison theorem holds. We describe the…”
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Limits of families of Brieskorn lattices and compactified classifying spaces by Hertling, Claus, Sevenheck, Christian

“…We investigate variations of Brieskorn lattices over non-compact parameter spaces, and discuss the corresponding limit objects on the boundary divisor. We…”
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Hypergeometric Hodge modules by Sevenheck, Christian

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A special issue: Computer algebra by Henk, Martin, Nebe, Gabriele, Sevenheck, Christian

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Betti Structures of Hypergeometric Equations by Barco, Davide, Hien, Marco, Hohl, Andreas, Sevenheck, Christian

“…Abstract We study Betti structures in the solution complexes of confluent hypergeometric equations. We use the framework of enhanced ind-sheaves and the…”
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Duality of Gauß–Manin systems associated to linear free divisors by Sevenheck, Christian

“…We investigate differential systems occurring in the study of particular non-isolated singularities, the so-called linear free divisors. We obtain a duality…”
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On the b-Functions of Hypergeometric Systems by Reichelt, Thomas, Sevenheck, Christian, Walther, Uli

“…Abstract For any integer $d\times (n+1)$ matrix $A$ and parameter $\beta\in\mathbb{C}^d$ let $M_A(\beta)$ be the associated $A$-hypergeometric (or GKZ) system…”
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BERNSTEIN POLYNOMIALS AND SPECTRAL NUMBERS FOR LINEAR FREE DIVISORS by SEVENHECK, Christian

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Mirror Symmetry, Singularity Theory and Non-commutative Hodge Structures by Sevenheck, Christian

“…We review a version of the mirror correspondence for smooth toric varieties with a numerically effective anticanonical bundle. We give a precise description of…”
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Hypergeometric systems from groups with torsion by Reichelt, Thomas, Sevenheck, Christian, Walther, Uli

“…We consider $A$-hypergeometric (or GKZ-)systems in the case where the grading (character) group is an arbitrary finitely generated Abelian group. Emulating the…”
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Curvature of classifying spaces for Brieskorn lattices by Hertling, Claus, Sevenheck, Christian

“…We study t t ∗ -geometry on the classifying space for regular singular TERP-structures, e.g., Fourier–Laplace transformations of Brieskorn lattices of isolated…”
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Tautological systems, homogeneous spaces and the holonomic rank problem by Görlach, Paul, Reichelt, Thomas, Sevenheck, Christian, Steiner, Avi, Walther, Uli

“…Many hypergeometric differential systems that arise from a geometric setting can be endowed with the structure of mixed Hodge modules. We generalize this…”
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Tautological systems and free divisors by Macarro, Luis Narváez, Sevenheck, Christian

“…Advances in Mathematics 352 (2019) 372--405 We introduce tautological system defined by prehomogenous actions of reductive algebraic groups. If the complement…”
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Betti structures of hypergeometric equations by Barco, Davide, Hien, Marco, Hohl, Andreas, Sevenheck, Christian

“…We study Betti structures in the solution complexes of confluent hypergeometric equations. We use the framework of enhanced ind-sheaves and the irregular…”
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Hodge ideals of free divisors by Domínguez, Alberto Castaño, Macarro, Luis Narváez, Sevenheck, Christian

“…Sel. Math. New Ser. 28, 57 (2022) We consider the Hodge filtration on the sheaf of meromorphic functions along free divisors for which the logarithmic…”
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Algebraic aspects of hypergeometric differential equations by Reichelt, Thomas, Schulze, Mathias, Sevenheck, Christian, Walther, Uli

“…We review some classical and modern aspects of hypergeometric differential equations, including $A$-hypergeometric systems of Gel'fand, Graev, Kapranov and…”
Get full text

Hypergeometric Hodge modules by Reichelt, Thomas, Sevenheck, Christian

“…We consider mixed Hodge module structures on GKZ-hypergeometric differential systems. We show that the Hodge filtration on these D-modules is given by the…”
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Irregular Hodge filtration of some confluent hypergeometric systems by Domínguez, Alberto Castaño, Sevenheck, Christian

“…J. Inst. Math. Jussieu 20 (2021) 627-668 We determine the irregular Hodge filtration, as introduced by Sabbah, for the purely irregular hypergeometric…”
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Examples of hypergeometric twistor $\mathcal{D}$-modules by Domínguez, Alberto Castaño, Reichelt, Thomas, Sevenheck, Christian

“…Alg. Number Th. 13 (2019) 1415-1442 We show that certain one-dimensional hypergeometric differential systems underlie objects of the category of irregular…”
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