A cyclotomic family of thin hypergeometric monodromy groups in Sp4(R)

We exhibit an infinite family of discrete subgroups of Sp 4 ( R ) which have a number of remarkable properties. Our results are established by showing that each group plays ping-pong on an appropriate set of cones. The groups arise as the monodromy of hypergeometric differential equations with param...

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Bibliographic Details
Published in:Geometriae dedicata 2024-04, Vol.218 (2), p.44
Main Authors: Filip, Simion, Fougeron, Charles
Format: Article
Language:English
Subjects:
Algebraic Geometry
Cones
Convex and Discrete Geometry
Differential equations
Differential Geometry
Discontinuity
Hyperbolic Geometry
Mathematics
Mathematics and Statistics
Original Paper
Projective Geometry
Subgroups
Table tennis
Topology
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