Abstract
Given a smooth complex projective variety , a line bundle of and , we say that is –transversal to if the complex is exact. We prove that if is –transversal to and satisfies , then the first order deformation of the pair in the direction extends to an analytic deformation.
We apply this result to improve known results on the paracanonical system of a variety of maximal Albanese dimension, due to Beauville in the case of surfaces and to Lazarsfeld and Popa in higher dimension. In particular, we prove the inequality for a variety of maximal Albanese dimension without irregular fibrations of Albanese general type.
Citation
Margarida Mendes Lopes. Rita Pardini. Gian Pietro Pirola. "Continuous families of divisors, paracanonical systems and a new inequality for varieties of maximal Albanese dimension." Geom. Topol. 17 (2) 1205 - 1223, 2013. https://doi.org/10.2140/gt.2013.17.1205
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