Rational surfaces with a non-arithmetic automorphism group
Abstract
In arXiv:1008.3825, Totaro gave examples of a K3 surface such that its automorphism group is not commensurable with an arithmetic group, answering a question of Mazur. We give examples of rational surfaces with the same property. Our examples Y are Looijenga pairs, i.e., there is a connected singular nodal curve D ⊂ Y such that KY + D = 0.
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