7 citations · 13 across the 13 of their papers we have counts for
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Geometry of Holomorphic One-forms on Smooth Projective Varieties
Jiabin Du, Feng Hao, Haoyuan Li +1
In this article, we show that any morphism from a smooth projective variety to a simple abelian variety is smooth, if and only if there exists a holomorphic 1-form …
Diffeomorphism types of simply connected -dimensional Mori fibre spaces
Feng Hao, Yang Su, Jianqiang Yang
In this article, we find finitely many numerical invariants to classify the diffeomorphism types of three dimensional simply connected Mori fibre spaces with torsion free homology…
Good minimal models with nowhere vanishing holomorphic -forms
Feng Hao, Zichang Wang, Lei Zhang
Popa and Schnell show that any holomorphic 1-form on a smooth projective variety of general type has zeros. In this article, we show that a smooth good minimal model has a holomorp…
Nowhere vanishing holomorphic one-forms and fibrations over abelian varieties
Nathan Chen, Benjamin Church, Feng Hao
A result of Popa and Schnell shows that any holomorphic 1-form on a smooth complex projective variety of general type admits zeros. More generally, given a variety which admits…
Nowhere vanishing holomorphic one-forms on varieties of Kodaira codimension one
Feng Hao
Based on the celebrated result on zeros of holomorphic 1-forms on complex varieties of general type by Popa and Schnell, we study holomorphic 1-forms on -dimensional varieties o…
-small divisors and fundamental groups of varieties
Feng Hao
Lasell and Ramachandran show that the existence of rational curves of positive self-intersection on a smooth projective surface implies that all the finite dimensional linear r…
Generic Vanishing, 1-forms, and Topology of Albanese Maps
Yajnaseni Dutta, Feng Hao, Yongqiang Liu
Given a bounded constructible complex of sheaves on a complex Abelian variety, we prove an equality relating the cohomology jump loci of and its singula…
Equality in the Bogomolov--Miyaoka--Yau inequality in the non-general type case
Feng Hao, Stefan Schreieder
We classify all minimal models X of dimension n, Kodaira dimension n-1 and with vanishing Chern number . This solves a problem of Kollár. Completing previous wor…
Vanishing theorem for tame harmonic bundles via -cohomology
Ya Deng, Feng Hao
Using -methods, we prove a vanishing theorem for tame harmonic bundles over quasi-compact Kähler manifolds in a very general setting. As a special case, we give a completely n…
Holomorphic one-forms without zeros on threefolds
Feng Hao, Stefan Schreieder
We show that a smooth complex projective threefold admits a holomorphic one-form without zeros if and only if the underlying real 6-manifold fibres smoothly over the circle, and we…
Vanishing theorems for parabolic Higgs bundles
Donu Arapura, Feng Hao, Hongshan Li
This is a sequel to "Kodaira-Saito vanishing via Higgs bundles in positive characteristic" (arXiv:1611.09880). However, unlike the previous paper, all the arguments here are in cha…
Weak Bounded Negativity Conjecture
Feng Hao
In this paper, we prove the following "Weak Bounded Negativity Conjecture", which says that given a complex smooth projective surface , for any reduced curve in and inte…
1-Motives Associated to the Limiting Mixed Hodge Structures of Degenerations of Curves
Feng Hao
In this article, we will give the Deligne 1-motives up to isogeny corresponding to the -limiting mixed Hodge structures of semi-stable degenerations of curves, by using…