14 Apr. 2026
Zeit: 10:30  - 12:00

Ort: Spiegelgasse 5, Seminarraum 05.002

Veranstalter: Daniela Paiva

Kolloquium / Seminar / Dongchen Jiao

Seminar Algebra and Geometry: Dongchen Jiao (Universität Basel)

Existence of complements for foliations

The notion of complements, a distinguished class of global sections of the canonical sheaf of a variety, was introduced by Shokurov. Subsequently, the theory of complements was substantially developed and has come to play a central role in birational geometry. Birkar established the existence of monotone complements for varieties of Fano type in fixed dimension. In higher dimensions, recent advances in the development of the Minimal Model Program (MMP) for foliated varieties, in particular on algebraically integrable foliations allow to investigate the existence of (bounded) complements in the foliated setting. As opposed to complements for varieties, even the existence of Q-complements due to the general failure of Bertini-type results is by no means trivial. we show the existence of Q-complements for algebraically integrable log-Fano foliations on klt varieties. This is ajoint work with Y.Chen and P. Vogtli.


Veranstaltung übernehmen als iCal

Nach oben