By Ingrid Bauer,Shelly Garion,Alina Vdovina
This selection of surveys and study articles explores a desirable classification of sorts: Beauville surfaces. it's the first time that those items are mentioned from the issues of view of algebraic geometry in addition to crew conception. The publication additionally comprises a variety of open difficulties and conjectures with regards to those surfaces.
Beauville surfaces are a category of inflexible general surfaces of normal kind, which are defined in a only algebraic combinatoric means. They play a big function in several fields of arithmetic like algebraic geometry, team thought and quantity conception. The thought of Beauville floor was once brought through Fabrizio Catanese in 2000 and after the 1st systematic learn of those surfaces by way of Ingrid Bauer, Fabrizio Catanese and Fritz Grunewald, there was an expanding curiosity within the subject.
These complaints mirror the themes of the lectures awarded through 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