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Geography of irregular Gorenstein 3-folds

arXiv:1309.6302

Abstract

In this paper, we study the explicit geography problem of irregular Gorenstein minimal 3-folds of general type. We generalize the classical Noether-Castelnuovo inequalities for irregular surfaces to irregular 3-folds according to the Albanese dimension.

31 pages. Some mistakes and inaccuracies are fixed. New references are added. Comments are welcome!