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A class of algebraic surfaces of general type constructed from quaternion algebras

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Publication:1133587
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DOI10.2140/pjm.1978.76.221zbMath0422.14022OpenAlexW1980334354MaRDI QIDQ1133587

Ira H. Shavel

Publication date: 1978

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1978.76.221

zbMATH Keywords

Fuchsian groupsurface of general typequaternion algebra


Mathematics Subject Classification ID

Compact complex surfaces (32J15) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Special surfaces (14J25) Units, groups of units (associative rings and algebras) (16U60)


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Negative curves on algebraic surfaces, Hyperbolic and Diophantine analysis, Simply transitive quaternionic lattices of rank 2 overq(t) and a non-classical fake quadric, Fake quadrics from irreducible lattices acting on the product of upper half planes, The geometry of symplectic pairs, Quaternionic arithmetic lattices of rank 2 and a fake quadric in characteristic 2, Varieties of general type with the same Betti numbers as \(\mathbb{P}^{1}\times \mathbb{P}^{1}\times\cdots\times \mathbb{P}^{1}\), Surfaces of general type with geometric genus zero: a survey, Commensurability classes of fake quadrics



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