In-person only.
Contact: Christian Kaiser (kaiser@mpim-bonn.mpg.de)
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
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/3444
[3] https://www.mpim-bonn.mpg.de/node/11857