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Commensurability Classes of Fake Quadrics by Linowitz, Benjamin; Stover, Matthew; Voight, John is a scholarly article available to read on EtoBox.

What is Commensurability Classes of Fake Quadrics about?

A fake quadric is a smooth projective surface that has the same rational cohomology as a smooth quadric surface but is not biholomorphic to one. We provide an explicit classification of all irreducible fake quadrics according to the commensurability class of their fundamental group. To accomplish this task, we develop a number of new techniques that explicitly bound the arithmetic invariants of a fake quadric and more generally of an arithmetic manifold of bounded volume arising from a form of SL_2 over a number field.

Author

Linowitz, Benjamin; Stover, Matthew; Voight, John

Published

2015

Language

EN