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pro vyhledávání: '"Hilado, Anton"'
We define Ford Spheres $\mathcal{P}$ in hyperbolic $n$-space associated to Clifford-Bianchi groups $PSL_2(O)$ for $O$ orders in rational Clifford algebras associated to positive definite, integral, primitive quadratic forms. For $\mathcal{H}^2$ and $
Externí odkaz:
http://arxiv.org/abs/2409.20529
Let $K$ be a $\mathbb{Q}$-Clifford algebra associated to an $(n-1)$-ary positive definite quadratic form and let $\mathcal{O}$ be a maximal order in $K$. A Clifford-Bianchi group is a group of the form $\operatorname{SL}_2(\mathcal{O})$ with $\mathca
Externí odkaz:
http://arxiv.org/abs/2407.19122
We establish a theory of scalar Fourier coefficients for a class of non-holomorphic, automorphic forms on the quaternionic real Lie group $\mathrm{U}(2,n)$. By studying the theta lifts of holomorphic modular forms from $\mathrm{U}(1,1)$, we apply thi
Externí odkaz:
http://arxiv.org/abs/2404.17743
Autor:
Bellovin, Rebecca, Borade, Neelima, Hilado, Anton, Kansal, Kalyani, Lee, Heejong, Levin, Brandon, Savitt, David, Wiersema, Hanneke
Let K/Q_p be unramified. Inside the Emerton-Gee stack X_2, one can consider the locus of two-dimensional mod p representations of the absolute Galois group of K having a crystalline lift with specified Hodge-Tate weights. We study the case where the
Externí odkaz:
http://arxiv.org/abs/2309.13665
Autor:
Dupuy, Taylor, Hilado, Anton
This paper does not give a proof of Mochizuki's Corollary 3.12. It is the first in a series of three papers concerning Mochizuki's Inequalities. The present paper concerns the setup of Corollary 3.12 and the first two indeterminacies, the second \cit
Externí odkaz:
http://arxiv.org/abs/2004.13228
Autor:
Dupuy, Taylor, Hilado, Anton
In \cite{Dupuy2020a} we gave some explicit formulas for the "indeterminacies" Ind1,Ind2,Ind3 in Mochizuki's Inequality as well as a new presentation of initial theta data. In the present paper we use these explicit formulas, together with our probabi
Externí odkaz:
http://arxiv.org/abs/2004.13108
Akademický článek
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Autor:
Bellovin, Rebecca, Borade, Neelima, Hilado, Anton, Kansal, Kalyani, Lee, Heejong, Levin, Brandon, Savitt, David, Wiersema, Hanneke
Publikováno v:
Journal für die Reine und Angewandte Mathematik; Sep2024, Vol. 2024 Issue 814, p9-46, 38p
Autor:
Bellovin, Rebecca1 (AUTHOR) rebecca.bellovin@uconn.edu, Borade, Neelima2 (AUTHOR) nb4296@princeton.edu, Hilado, Anton3 (AUTHOR) anton.hilado@uvm.edu, Kansal, Kalyani4 (AUTHOR) kkansal@ias.edu, Lee, Heejong5 (AUTHOR) lee4878@purdue.edu, Levin, Brandon6 (AUTHOR) bl70@rice.edu, Savitt, David7 (AUTHOR) savitt@jhu.edu, Wiersema, Hanneke8 (AUTHOR) hw600@cam.ac.uk
Publikováno v:
Journal für die Reine und Angewandte Mathematik. Sep2024, Vol. 2024 Issue 814, p9-46. 38p.