Arithmeticity of the monodromy of some Kodaira fibrations
| Autor: | Nick Salter, Bena Tshishiku |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Pure mathematics
Algebra and Number Theory Fiber (mathematics) Group (mathematics) 010102 general mathematics Geometric Topology (math.GT) Group Theory (math.GR) Base (topology) 01 natural sciences Mapping class group Mathematics - Geometric Topology Mathematics - Algebraic Geometry Mathematics::Algebraic Geometry Monodromy 0103 physical sciences Algebraic surface FOS: Mathematics 010307 mathematical physics Algebraic curve 0101 mathematics Algebraic number Mathematics - Group Theory Algebraic Geometry (math.AG) Mathematics::Symplectic Geometry Mathematics |
| Zdroj: | Compositio Mathematica. 156:114-157 |
| ISSN: | 1570-5846 0010-437X |
| DOI: | 10.1112/s0010437x19007668 |
| Popis: | A question of Griffiths-Schmid asks when the monodromy group of an algebraic family of complex varieties is arithmetic. We resolve this in the affirmative for the class of algebraic surfaces known as Atiyah-Kodaira manifolds, which have base and fibers equal to complete algebraic curves. Our methods are topological in nature and involve an analysis of the "geometric" monodromy, valued in the mapping class group of the fiber. Comment: 44 pages, 9 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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