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arXiv · 1305.5174

Fake quadrics from irreducible lattices acting on the product of upper half planes

Amir Džambić
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Abstract

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 automorphisms. Moreover, we list classes of arithmetic lattices over a real quadratic number field which define a fake quadric and give general results towards a classification of all such fake quadrics.

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Amir Džambić. 2013-05-22. Fake quadrics from irreducible lattices acting on the product of upper half planes. https://arxiv.org/abs/1305.5174

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