From the 1 of 10 linked papers with an AI index.
10 papers
Invisible singularities in complex algebraic geometry
Maurício Corrêa, János Kollár, Stefan Schreieder +1
We construct morphisms between smooth complex projective varieties that have singular fibers, but look topologically smooth. We use this to give negative answers to the following f…
Zeros of one-forms and the topology of algebraic maps
Stefan Schreieder, Botong Wang
The authors construct smooth complex projective varieties whose Albanese morphisms are homotopy fiber bundles but not submersions, and whose holomorphic one-forms always have zeros…
Matroids and the integral Hodge conjecture for abelian varieties
Philip Engel, Olivier de Gaay Fortman, Stefan Schreieder
We prove that the cohomology class of any curve on a very general principally polarized abelian variety of dimension at least 4 is an even multiple of the minimal class. The same h…
Combinatorics and Hodge theory of degenerations of abelian varieties: A survey of the Mumford construction
Philip Engel, Olivier de Gaay Fortman, Stefan Schreieder
We survey the Mumford construction of degenerating abelian varieties, with a focus on the analytic version of the construction, and its relation to toric geometry. Moreover, we stu…
Cycle conjectures and birational invariants over finite fields
Samet Balkan, Stefan Schreieder
We study a natural birational invariant for varieties over finite fields and show that its vanishing on projective space is equivalent to the Tate conjecture, the Beilinson conject…
On the rationality problem for low degree hypersurfaces
Jan Lange, Stefan Schreieder
We show that a very general hypersurface of degree d at least 4 and dimension at most over a field of characteristic different from 2 does not admit a decomposition…