Beauville surfaces without real structures
By Ingrid Bauer, F. Catanese, Fritz Grunewald. 2004
86 citations recorded by the source corpus.
Inspired by a construction by Arnaud Beauville of a surface of general type with K 2 = 8, p g = 0, the second author defined Beauville surfaces as the surfaces which are rigid, i.e., without nontrivial deformations, and which admit an unramified covering which is isomorphic to a product of curves of genus at least 2.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/53be5ab0e9158ec96e1d3025773305b048328239
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In Geometry and Topology
- Ingrid Bauer
- F. Catanese
- Fritz Grunewald
- G. González‐diez
- Ruben A. Hidalgo
- M. Leyton
- Matteo Penegini
- Y. Odaka
In Mathematical Physics
- Ingrid Bauer
- Fritz Grunewald
- F. Catanese
- G. González‐diez
- Ruben A. Hidalgo
- M. Leyton
- Matteo Penegini
- Robert M. Guralnick
Citations in the corpus
- Generalized Fermat curves (2009, background): “Surfaces isogenous to a higher product have been extensively studied by Bauer, Catanese and Grunewald [3,7,8].”
- Chebycheff and Belyi Polynomials, Dessins d’Enfants, Beauville Surfaces and Group Theory (2006, background): “7.29), we get by the same arguments as in [ BCG05a ], prop.”
- A Superficial Working Guide to Deformations and Moduli (2011, background): “The question was finally answered in the negative, and in every possible way ([97],[84],[40],[48],[13].”