On birational boundedness of Fano fibrations
Algebraic Geometry
2019-12-02 v2
Abstract
We investigate birational boundedness of Fano varieties and Fano fibrations. We establish an inductive step towards birational boundedness of Fano fibrations via conjectures related to boundedness of Fano varieties and Fano fibrations. As corollaries, we provide approaches towards birational boundedness and boundedness of anti-canonical volumes of varieties of -Fano type. Furthermore, we show birational boundedness of -folds of -Fano type.
Keywords
Cite
@article{arxiv.1509.08722,
title = {On birational boundedness of Fano fibrations},
author = {Chen Jiang},
journal= {arXiv preprint arXiv:1509.08722},
year = {2019}
}
Comments
21 pages. Comments are welcome; v2: final version, terminology changed, to appear in Amer. J. Math