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10 papers · 2 filters
Families of curves with Higgs field of arbitrarily large kernel
Víctor González-Alonso, Sara Torelli
In this note we consider the flat bundle U and the kernel K of the Higgs field naturally associated to any (polarized) variation of Hodge structures of weight 1. We study how stric…
Massively parallel computations in algebraic geometry - not a contradiction
Janko Boehm, Anne Frühbis-Krüger, Mirko Rahn
The design and implementation of parallel algorithms is a fundamental task in computer algebra. Combining the computer algebra system Singular and the workflow management system GP…
The twisted forms of a semisimple group over an -curve
Rony A. Bitan, Ralf Kohl, Claudia Schoemann
Let be a smooth, projective and geometrically connected curve defined over a finite field . Given a semisimple -group scheme where is…
Existence of equivariant models of spherical varieties and other G-varieties
Mikhail Borovoi, Giuliano Gagliardi
Let be a field of characteristic with algebraic closure . Let be a connected reductive -group, and let be a spherical variety over (a spherical homogene…
Lattices for Landau-Ginzburg orbifolds
Wolfgang Ebeling, Atsushi Takahashi
We consider a pair consisting of an invertible polynomial and a finite abelian group of its symmetries. Berglund, Hübsch, and Henningson proposed a duality between such pairs givin…
K-theory and the singularity category of quotient singularities
Nebojsa Pavic, Evgeny Shinder
In this paper we study Schlichting's K-theory groups of the Buchweitz-Orlov singularity category of a quasi-projective algebraic scheme with application…