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Arithmetic of algebraic surfaces (SURFARI)
Start date: Oct 1, 2011, End date: Sep 30, 2016 PROJECT  FINISHED 

"This research proposal concerns a fundamental problem in the theory of al-gebraic surfaces which poses one of the most important challenges in order tounderstand the inner structure of algebraic surfaces beyond the current state ofthe art. Our research team will investigate in detail the structure of curves onalgebraic surfaces which is captured in the Neron-Severi group. In general, itis a widely open problem to decide which shapes this group can take. By de-signing innovative and unconventional approaches at the borderline of arithmeticand geometry, we aim at groundbreaking results that will spark deep insightsinto the inner structures of algebraic surfaces and lay cornerstones for futureinvestigations."
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