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On the irreducibility of arithmetic cycles

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Robert Wilms
Universität Basel
Thu, 12/01/2023 - 14:00 - 14:55
MPIM Lecture Hall

In-person only.
Contact: Christian Kaiser (


In Arakelov theory arithmetic cycles are equipped with the additional analytic data of a Green current. In this talk, I will introduce a new notion of epsilon-irreducibility for arithmetic cycles, meaning that the degree of their analytic part is relatively small compared to the degree of their classical part. I will present a Bertini-type result for this notion of irreducibility. As a byproduct of the proof, I will discuss the distribution of divisors of small sections in Arakelov theory. Especially, I will show a new equidistribution result for the zeros of integer polynomials




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