Bounded negativity of self-intersection numbers of Shimura curves in Shimura surfaces

DOI10.2140/ant.2015.9.897zbMath1327.14122arXiv1407.5181OpenAlexW3098796147WikidataQ114045587 ScholiaQ114045587MaRDI QIDQ2346700

Domingo Toledo, Martin Möller

Publication date: 3 June 2015

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1407.5181

zbMATH Keywords

Shimura curvesself-intersectionsbounded negativityequidistribution of Shimura curves

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Discrete subgroups of Lie groups (22E40) Modular and Shimura varieties (14G35) Ergodic theory (37A99) Special surfaces (14J25)

Related Items (10)

Parametrizing Shimura subvarieties of \({\mathrm{A}_1}\) Shimura varieties and related geometric problems ⋮ Negative curves of small genus on surfaces ⋮ Exceptional collections and the bicanonical map of Keum’s fake projective planes ⋮ Arithmeticity, superrigidity and totally geodesic submanifolds of complex hyperbolic manifolds ⋮ On the distribution of the Hodge locus ⋮ Finiteness of totally geodesic exceptional divisors in Hermitian locally symmetric spaces ⋮ Harbourne constants and conic configurations on the projective plane ⋮ Harbourne constants, pull-back clusters and ramified morphisms ⋮ A classification of \(\mathbb{R}\)-Fuchsian subgroups of Picard modular groups ⋮ Geodesic curves on Shimura surfaces

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