On the Cohomology of the Stover Surface - CNRS - Centre national de la recherche scientifique Accéder directement au contenu
Article Dans Une Revue Experimental Mathematics Année : 2017

On the Cohomology of the Stover Surface

Résumé

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 we discuss the problem related to the so-called Lagrangian surfaces. We obtain that this surface $S$ has maximal Picard number and has no higher genus fibrations. We compute that its Albanese variety $A$ is isomorphic to $(\mathbb{C}/\mathbb{Z}[\alpha])^{7}$, for $\alpha=e^{2i\pi/3}$.

Dates et versions

hal-01579462 , version 1 (31-08-2017)

Identifiants

Citer

Amir Džambić, Xavier Roulleau. On the Cohomology of the Stover Surface. Experimental Mathematics, 2017, 26 (4), pp.490 - 495. ⟨10.1080/10586458.2016.1205533⟩. ⟨hal-01579462⟩
60 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More