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pro vyhledávání: '"Cartwright, Donald I."'
A refinement of B\'ezout's Lemma, and order 3 elements in some quaternion algebras over $\mathbb{Q}$
Given coprime positive integers $d',d''$, B\'ezout's Lemma tells us that there are integers $u,v$ so that $d'u-d''v=1$. We show that, interchanging $d'$ and $d''$ if necessary, we may choose $u$ and $v$ to be Loeschian numbers, i.e., of the form $|\a
Externí odkaz:
http://arxiv.org/abs/2107.02414
Autor:
Cartwright, Donald I., Steger, Tim
In order to enumerate the fake projective planes, as announced in~\cite{CS}, we found explicit generators and a presentation for each maximal arithmetic subgroup $\bar\Gamma$ of~$PU(2,1)$ for which the (appropriately normalized) covolume equals~$1/N$
Externí odkaz:
http://arxiv.org/abs/1701.02452
In this article, we study various concrete algebraic and differential geometric properties of the Cartwright-Steger surface. In particular, we determine the genus of a generic fiber of the Albanese fibration, and deduce that the singular fibers are n
Externí odkaz:
http://arxiv.org/abs/1412.4137
Autor:
Cartwright, Donald I., Woess, Wolfgang
Publikováno v:
Illinois J. Math. 51 (2007) 805-830
A network is a countable, connected graph X viewed as a one-complex, where each edge [x,y]=[y,x] (x,y in X^0, the vertex set) is a copy of the unit interval within the graph's one-skeleton X^1 and is assigned a positive conductance c(xy). A reference
Externí odkaz:
http://arxiv.org/abs/math/0509595
Autor:
Cartwright, Donald I., Kuhn, Gabriella
Publikováno v:
Transactions of the American Mathematical Society, 2001 May 01. 353(5), 2073-2090.
Externí odkaz:
https://www.jstor.org/stable/221809
We see that a building whose Coxeter group is hyperbolic is itself hyperbolic. Thus any finitely generated group acting co-compactly on such a building is hyperbolic, hence automatic. We turn our attention to affine buildings and consider a group $\G
Externí odkaz:
http://arxiv.org/abs/math/9404202
Autor:
Cartwright, Donald I., Steger, Tim
Publikováno v:
In Comptes rendus - Mathématique 2010 348(1):11-13
Publikováno v:
Transactions of the American Mathematical Society, 1993 Aug 01. 338(2), 679-693.
Externí odkaz:
https://www.jstor.org/stable/2154423
Autor:
Cartwright, Donald I., Soardi, P. M.
Publikováno v:
Proceedings of the American Mathematical Society, 1989 Nov 01. 107(3), 817-823.
Externí odkaz:
https://www.jstor.org/stable/2048184