F. Hao

activity

20172022

collaborators

5 papers

math.AG2022

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 $n$ -dimensional varieties o…

math.AG2021

$π_{1}$ -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 $X$ implies that all the finite dimensional linear r…

math.AG2020

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 $c_{1}^{n - 2} c_{2} (X) = 0$ . This solves a problem of Kollár. Completing previous wor…

math.AG2019

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…

math.AG2017

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 $X$ , for any reduced curve $C$ in $X$ and inte…

Nowhere vanishing holomorphic one-forms on varieties of Kodaira codimension one

π1​-small divisors and fundamental groups of varieties

Equality in the Bogomolov--Miyaoka--Yau inequality in the non-general type case

Holomorphic one-forms without zeros on threefolds

Weak Bounded Negativity Conjecture

$π_{1}$ -small divisors and fundamental groups of varieties