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math.AG2013
Geography of irregular Gorenstein 3-folds
Tong Zhang
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 irr…
math.AG2013★ 1 cited
Relative Noether inequality on fibered surfaces
Xinyi Yuan, Tong Zhang
We prove effective upper bounds on the global sections of nef line bundles of small generic degree over a fibered surface over a field of any characteristic. It can be viewed as a…
math.AG2013★ 1 cited
Severi inequality for varieties of maximal Albanese dimension
Tong Zhang
Let be a projective, normal, minimal and Gorenstein -dimensional complex variety of general type. Suppose is of maximal Albanese dimension. We prove that $K^n_X \ge 2 n!…