A Pair of Rigid Surfaces with pg= q = 2 and K2= 8 Whose Universal Cover is Not the Bidisk

DOI10.1093/imrn/rny107zbMath1482.14042arXiv1703.10646OpenAlexW2604966520MaRDI QIDQ5015566

Carlos Rito, Francesco Polizzi, Xavier Roulleau

Publication date: 9 December 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.10646

zbMATH Keywords

diffeomorphism typebidiskrigid surfacessurfaces of general type with \(\chi=1\)degree 2 Albanese mapdouble cover of abelian surface

Mathematics Subject Classification ID

Surfaces of general type (14J29) Topology of surfaces (Donaldson polynomials, Seiberg-Witten invariants) (14J80) Divisors, linear systems, invertible sheaves (14C20) Special surfaces (14J25) Uniformization of complex manifolds (32Q30)

Related Items (7)

Curves with low Harbourne constants on Kummer and abelian surfaces ⋮ A note on a family of surfaces with \(p_g=q=2\) and \(K^2=7\) ⋮ Fibred algebraic surfaces and commutators in the symplectic group ⋮ On generalized Kummer surfaces and the orbifold Bogomolov-Miyaoka-Yau inequality ⋮ Rigid surfaces arbitrarily close to the Bogomolov--Miyaoka--Yau line ⋮ Monodromy representations and surfaces with maximal Albanese dimension ⋮ On the cohomology of surfaces with $p_g = q = 2$ and maximal Albanese dimension

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