On threefolds isogenous to a product of curves
| Autor: | Christian Gleißner, Davide Frapporti |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Finite group
Pure mathematics Algebra and Number Theory Group (mathematics) Riemann surface 010102 general mathematics Diagonal Value (computer science) 01 natural sciences symbols.namesake Mathematics::Algebraic Geometry Genus (mathematics) Product (mathematics) 0103 physical sciences symbols 010307 mathematical physics 0101 mathematics Quotient Mathematics |
| Zdroj: | Journal of Algebra. 465:170-189 |
| ISSN: | 0021-8693 |
| DOI: | 10.1016/j.jalgebra.2016.06.034 |
| Popis: | A threefold isogenous to a product of curves X is a quotient of a product of three compact Riemann surfaces of genus at least two by the free action of a finite group. In this paper we study these threefolds under the assumption that the group acts diagonally on the product. We show that the classification of these threefolds is a finite problem, present an algorithm to classify them for a fixed value of χ ( O X ) and explain a method to determine their Hodge numbers. Running an implementation of the algorithm we achieve the full classification of threefolds isogenous to a product of curves with χ ( O X ) = − 1 , under the assumption that the group acts faithfully on each factor. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full Text from ScienceDirect