albanese morphism 1conjecture counterexamples 1fiber bundles 1holomorphic one-forms 1homotopy theory 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.AG2026
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…
math.AG2026
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…
math.CO2026
Singular Hodge theory for combinatorial geometries
Tom Braden, June Huh, Jacob P. Matherne +2
We introduce the intersection cohomology module of a matroid and prove that it satisfies Poincaré duality, the hard Lefschetz theorem, and the Hodge-Riemann relations. As applicat…