8 papers
Unramified cohomology, algebraic cycles and rationality
Stefan Schreieder
This is a survey on unramified cohomology with a view towards its applications to rationality problems.
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…
Torsion orders of Fano hypersurfaces
Stefan Schreieder
We find new lower bounds on the torsion orders of very general Fano hypersurfaces over (uncountable) fields of arbitrary characteristic. Our results imply that unirational parametr…
Chern numbers of uniruled threefolds
Stefan Schreieder, Luca Tasin
In this paper we show that the Chern numbers of a smooth Mori fibre space in dimension three are bounded in terms of the underlying topological manifold. We also generalise a theor…
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…
Zeros of holomorphic one-forms and topology of Kähler manifolds
Stefan Schreieder
A conjecture of Kotschick predicts that a compact Kähler manifold fibres smoothly over the circle if and only if it admits a holomorphic one-form without zeros. In this paper w…