Zobrazeno 1 - 10
of 54
pro vyhledávání: '"Jarossay, David"'
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
We prove that the complex surfaces parametrizing cuboids and face cuboids, as well as their minimal resolution of singularities, have trivial fundamental group. We then compute the fundamental group of certain open smooth subvarieties of the complex
Externí odkaz:
http://arxiv.org/abs/2310.12710
Autor:
Dan-Cohen, Ishai, Jarossay, David
If Z is an open subscheme of Spec ZZ, X is a sufficiently nice Z-model of a smooth curve over QQ, and p is a closed point of Z, the Chabauty-Kim method leads to the construction of locally analytic functions on X(ZZ_p) which vanish on X(Z); we call s
Externí odkaz:
http://arxiv.org/abs/2101.01529
Autor:
Jarossay, David
We define subvarieties of $\mathcal{M}_{0,n}$ equipped with algebraic functions that are solutions to the generic double shuffle equations satisfied by multiple polylogarithms on $\mathcal{M}_{0,n}$.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/1908.01410
Autor:
Furusho, Hidekazu, Jarossay, David
Publikováno v:
Int. J. Number Theory, Vol. 16, 2 (2020), 361-375
We show that the special values at tuples of positive integers of the $p$-adic multiple $L$-function introduced by the first-named author et al. can be expressed in terms of the cyclotomic multiple harmonic values introduced by the second-named autho
Externí odkaz:
http://arxiv.org/abs/1806.09600
Autor:
Jarossay, David
This work is a study of $p$-adic multiple zeta values at roots of unity ($p$MZV$\mu_{N}$'s), the $p$-adic periods of the crystalline pro-unipotent fundamental groupoid of $(\mathbb{P}^{1} - \{0,\mu_{N},\infty\})/ \mathbb{F}_{q}$. The main tool is new
Externí odkaz:
http://arxiv.org/abs/1712.09976
Autor:
Jarossay, David
Let $p$ a prime number. For all $N \in \mathbb{N}^{\ast}$ prime to $p$, let $k_{N}$ be a finite field of characteristic $p$ containing a primitive $N$-th root of unity. Let $X_{k_{N},N}=\text{ }\mathbb{P}^{1} - (\{0,\infty\} \cup \mu_{N})\text{ }/\te
Externí odkaz:
http://arxiv.org/abs/1708.08009
Autor:
Jarossay, David
We define and apply a method to study the non-vanishing of $p$-adic cyclotomic multiple zeta values. We prove the non-vanishing of certain cyclotomic multiple harmonic sums, and, via a formula proved in another paper, which expresses a cyclotomic mul
Externí odkaz:
http://arxiv.org/abs/1707.01924
Autor:
Jarossay, David
This is a review on the two first parts of our work on $p$-adic multiple zeta values at $N$-th roots of unity ($p$MZV$\mu_{N}$'s), the $p$-adic periods of the crystalline pro-unipotent fundamental groupoid of $\mathbb{P}^{1} - \{0,\mu_{N},\infty\}$ (
Externí odkaz:
http://arxiv.org/abs/1611.01921
Autor:
Jarossay, David
Publikováno v:
Alg. Number Th. 14 (2020) 1711-1746
$p$-adic cyclotomic multiple zeta values depend on the choice of a number of iterations of the crystalline Frobenius of the pro-unipotent fundamental groupoid of $\mathbb{P}^{1} - \{0,\mu_{N},\infty\}$. In this paper we study how the iterated Frobeni
Externí odkaz:
http://arxiv.org/abs/1610.09107