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arXiv · 1008.1790

A characterization of the symmetric square of a curve

Margarida Mendes Lopes·Rita Pardini·Gian Pietro Pirola
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Abstract

In this paper a new intrinsic geometric characterization of the symmetric square of a curve and of the ordinary product of two curves is given. More precisely it is shown that the existence on a surface of general type S of irregularity q of an effective divisor D having self-intersection D^2>0 and arithmetic genus q implies that S is either birational to a product of curves or to the second symmetric product of a curve.

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Margarida Mendes Lopes, Rita Pardini, Gian Pietro Pirola. 2010-08-10. A characterization of the symmetric square of a curve. https://doi.org/10.1093/imrn%2Frnr025

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