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- W2744298791 abstract "We study mixed surfaces, the minimal resolution S of the singularities of a quotient (C x C)/G of the of a curve by a finite group G of automorphisms that contains elements not preserving the factors. We study them through the quotients by (C x C)/G' where G' contains G. As a first application we prove that if the irregularity is at least 3, then S is also minimal. The result is sharp. The main result is a complete description of the Albanese morphism of S through a determined further quotient (C x C)/G' that is an etale cover of the symmetric square of a curve. In particular, if the irregularity of S is at least 2, then S has maximal Albanese dimension. We apply our result to all the semi-isogenous mixed surfaces of maximal Albanese dimension constructed by Cancian and Frapporti, relating them with the other constructions appearing in the literature of surfaces of general type having the same invariants." @default.
- W2744298791 created "2017-08-17" @default.
- W2744298791 creator A5009824207 @default.
- W2744298791 date "2017-08-05" @default.
- W2744298791 modified "2023-09-27" @default.
- W2744298791 title "Quotients of the square of a curve by a mixed action, further quotients and Albanese morphisms" @default.
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