Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Džambić, Amir"'
Let $n \geqslant 2$. We prove that, up to conjugation, $\mathrm{Sp}_{2n} (\mathbf{Z})$ is the lattice in $\mathrm{Sp}_{2n} (\mathbf{R})$ which has the smallest covolume.
Comment: 28 pages, comments welcome!
Comment: 28 pages, comments welcome!
Externí odkaz:
http://arxiv.org/abs/2402.07604
Autor:
Džambić, Amir, González-Diez, Gabino
Let $C$ be a complex algebraic curve uniformised by a Fuchsian group $\Gamma$. In the first part of this paper we identify the automorphism group of the solenoid associated with $\Gamma$ with the Belyaev completion of its commensurator $\mathrm{Comm}
Externí odkaz:
http://arxiv.org/abs/2006.02817
Autor:
Džambić, Amir
We study the covolumes of arithmetic lattices in $PSL_2(\mathbb R)^n$ for $n\geq 2$ and identify uniform and non-uniform irreducible lattices of minimal covolume. More precisely, let $\mu$ be the Euler-Poincar\'e measure on $PSL_2(\mathbb R)^n$ and $
Externí odkaz:
http://arxiv.org/abs/1501.06443
Autor:
Džambić, Amir
We study quotients $\Gamma\backslash \mathbb H^n$ of the $n$-fold product of the upper half plane $\mathbb H$ by irreducible and torsion-free lattices $\Gamma < PSL_2(\mathbb R)^n$ with the same Betti numbers as the $n$-fold product $(\mathbb P^1)^n$
Externí odkaz:
http://arxiv.org/abs/1411.3384
Autor:
Džambić, Amir
The paper investigates invariants of compactified Picard modular surfaces by principal congruence subgroups of Picard modular groups. The applications to the surface classification and modular forms are discussed.
Comment: 11 pages
Comment: 11 pages
Externí odkaz:
http://arxiv.org/abs/1411.3381
Autor:
Džambić, Amir, Roulleau, Xavier
We study a surface discovered by Stover which is the surface with minimal Euler number and maximal automorphism group among smooth arithmetic ball quotient surfaces. We study the natural map $\wedge^{2}H^{1}(S,\mathbb{C})\to H^{2}(S,\mathbb{C})$ and
Externí odkaz:
http://arxiv.org/abs/1410.8657
Autor:
Džambić, Amir, Roulleau, Xavier
Quaternionic Shimura surfaces are quotient of the bidisc by an irreducible cocompact arithmetic group. In the present paper we are interested in (smooth) quaternionic Shimura surfaces admitting an automorphism with one dimensional fixed locus; such a
Externí odkaz:
http://arxiv.org/abs/1404.3074
Autor:
Džambić, Amir
In the present article, we provide examples of fake quadrics, that is, minimal complex surfaces of general type with the same numerical invariants as the smooth quadric in $\PP ^3$ which are quotients of the bidisc by an irreducible lattice of automo
Externí odkaz:
http://arxiv.org/abs/1305.5174
Autor:
Dzambic, Amir, Roulleau, Xavier
Publikováno v:
Pacific J. Math. 267 (2014) 91-120
A fake quadric is a smooth minimal surface of general type with the same invariants as the quadric in P^3, i.e. K^2=2c_2=8 and q=p_g=0. We study here quaternionic fake quadrics i.e. fake quadrics constructed arithmetically by using some quaternion al
Externí odkaz:
http://arxiv.org/abs/1201.5051
Autor:
Dzambic, Amir
The purpose of the present paper is to explain the fake projective plane constructed by J.H. Keum from the point of view of arithmetic ball quotients. Beside the ball quotient associated with the fake projective plane, we also analize two further nat
Externí odkaz:
http://arxiv.org/abs/0803.0645