This research proposal concerns a fundamental problem in the theory of al-
gebraic surfaces which poses one of the most important challenges in order to
understand the inner structure of algebraic surfaces beyond the current state...
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Descripción del proyecto
This research proposal concerns a fundamental problem in the theory of al-
gebraic surfaces which poses one of the most important challenges in order to
understand the inner structure of algebraic surfaces beyond the current state of
the art. Our research team will investigate in detail the structure of curves on
algebraic surfaces which is captured in the Neron-Severi group. In general, it
is a widely open problem to decide which shapes this group can take. By de-
signing innovative and unconventional approaches at the borderline of arithmetic
and geometry, we aim at groundbreaking results that will spark deep insights
into the inner structures of algebraic surfaces and lay cornerstones for future
investigations.