By Ingrid Bauer,Shelly Garion,Alina Vdovina
This number of surveys and examine articles explores a desirable classification of sorts: Beauville surfaces. it's the first time that those gadgets are mentioned from the issues of view of algebraic geometry in addition to staff concept. The booklet additionally contains numerous open difficulties and conjectures relating to those surfaces.
Beauville surfaces are a category of inflexible standard surfaces of common sort, that are defined in a simply algebraic combinatoric manner. They play an enormous position in several fields of arithmetic like algebraic geometry, workforce thought and quantity idea. The suggestion of Beauville floor used to be brought by means of Fabrizio Catanese in 2000 and after the 1st systematic examine of those surfaces by means of Ingrid Bauer, Fabrizio Catanese and Fritz Grunewald, there was an expanding curiosity within the subject.
These lawsuits mirror the subjects of the lectures provided throughout the workshop ‘Beauville surfaces and teams 2012’, held at Newcastle college, united kingdom in June 2012. This convention introduced jointly, for the 1st time, specialists of alternative fields of arithmetic attracted to Beauville surfaces.
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Beauville Surfaces and Groups (Springer Proceedings in Mathematics & Statistics) by Ingrid Bauer,Shelly Garion,Alina Vdovina