AbstractManin’s conjecture is a conjectural asymptotic formula for the counting function of rational points on Fano varieties over global fields. With Brian Lehmann, I have been studying exceptional sets arising in this conjecture. In this talk I would like to discuss my joint work with Brian Lehmann and Akash Sengupta on birational geometry of exceptional sets, then I will discuss application...
AbstractThe classical differential calculus of a higher order is provided by the graded algebra of differential forms on a smooth manifold with the operation of exterior differentiation. Our interest to this notion was motivated by a desire to develop a calculus of differential forms on discrete objects. As a rule, the role of discrete objects is played by discrete sets with additional relation...
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