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By Ingrid Bauer,Shelly Garion,Alina Vdovina

This number of surveys and study articles explores a desirable category of types: Beauville surfaces. it's the first time that those items are mentioned from the issues of view of algebraic geometry in addition to team conception. The publication additionally comprises a variety of open difficulties and conjectures on the topic of those surfaces.

Beauville surfaces are a category of inflexible usual surfaces of basic variety, that are defined in a in simple terms algebraic combinatoric means. They play a tremendous function in numerous fields of arithmetic like algebraic geometry, workforce idea and quantity thought. The idea of Beauville floor was once brought through Fabrizio Catanese in 2000 and after the 1st systematic research of those surfaces by means of Ingrid Bauer, Fabrizio Catanese and Fritz Grunewald, there was an expanding curiosity within the subject.

These court cases mirror the themes of the lectures offered throughout the workshop ‘Beauville surfaces and teams 2012’, held at Newcastle collage, united kingdom in June 2012. This convention introduced jointly, for the 1st time, specialists of alternative fields of arithmetic drawn to Beauville surfaces.

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Beauville Surfaces and Groups (Springer Proceedings in Mathematics & Statistics) by Ingrid Bauer,Shelly Garion,Alina Vdovina


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