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pro vyhledávání: '"Saettone, Francesco Maria"'
Autor:
Jarossay, David, Lilienfeldt, David T. -B. G., Saettone, Francesco Maria, Weiss, Ariel, Zehavi, Sa'ar
Given a finite set $S$ of distinct primes, we propose a method to construct polylogarithmic motivic Chabauty-Kim functions for $\mathbb{P}^1 \setminus \{ 0,1,\infty \}$ using resultants. For a prime $p\not\in S$, the vanishing loci of the images of s
Externí odkaz:
http://arxiv.org/abs/2408.07400
Autor:
Saettone, Francesco Maria
We prove an equidistribution statement for the reduction of Galois orbits of CM points on the special fiber of a Shimura curve over a totally real field attached to some ramified primes. To do so we study the reduction of CM points in the special fib
Externí odkaz:
http://arxiv.org/abs/2405.20841
Motivated by Chabauty-Kim theory, we prove that the surface parametrizing cuboids and its resolution of singularities have a trivial fundamental group. We also compute the fundamental group of the surface minus the divisor of degenerate cuboids, whic
Externí odkaz:
http://arxiv.org/abs/2310.12710
Special kinds of continued fractions have been proved to converge to transcendental real numbers by means of the celebrated Subspace Theorem. In this paper we study the analogous $p$--adic problem. More specifically, we deal with Browkin $p$--adic co
Externí odkaz:
http://arxiv.org/abs/2302.04017
We provide a construction which covers as special cases many of the topologies on integers one can find in the literature. Moreover, our analysis of the Golomb and Kirch topologies inserts them in a family of connected, Hausdorff topologies on $\math
Externí odkaz:
http://arxiv.org/abs/2202.13478
Publikováno v:
In Expositiones Mathematicae March 2023 41(1):71-114