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Symmetric Differentials of Rank 1 and Holomorphic Maps

Symmetric Differentials of Rank 1 and Holomorphic Maps

The goal of this work is to develop the Albanese theory for symmetric differentials w of rank 1 (i.e.locally w| U = f µ m , whereTo accomplish this, the notion of closed symmetric differential is introduced and symmetric differentials of rank 1 are proved to be closed.It is then …