Abstract
In this paper some numerical restrictions for surfaces with an involution are obtained. These formulas are used to study surfaces of general typeS withp g =q = 1 having an involutioni such thatS/i is a nonruled surface and such that the bicanonical map ofS is not composed withi. A complete list of possibilities is given and several new examples are constructed, as bidouble covers of surfaces. In particular the first example of a minimal surface of general type withp g =q = 1 andK 2 = 7 having birational bicanonical map is obtained.
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Rito, C. Involutions on surfaces withp g =q = 1. Collect. Math. 61, 81–106 (2010). https://doi.org/10.1007/BF03191228
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DOI: https://doi.org/10.1007/BF03191228