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UID:news2020@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20260409T134522
DTSTART;TZID=Europe/Zurich:20260414T103000
SUMMARY:Seminar Algebra and Geometry: Dongchen Jiao (Universität Basel)
DESCRIPTION:The notion of complements\, a distinguished class of global sec
 tions of the canonical sheaf of a variety\, was introduced by Shokurov. Su
 bsequently\, the theory of complements was substantially developed and has
  come to play a central role in birational geometry. Birkar established th
 e existence of monotone complements for varieties of Fano type in fixed di
 mension. In higher dimensions\, recent advances in the development of the 
 Minimal Model Program (MMP) for foliated varieties\, in particular on alge
 braically integrable foliations allow to investigate the existence of (bou
 nded) complements in the foliated setting. As opposed to complements for v
 arieties\, 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 varie
 ties. This is ajoint work with Y.Chen and P. Vogtli.
X-ALT-DESC:<p>The notion of complements\, a distinguished class of global s
 ections of the canonical sheaf of a variety\, was introduced by Shokurov. 
 Subsequently\, the theory of complements was substantially developed and h
 as 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 th
 e Minimal Model Program (MMP) for foliated varieties\, in particular on al
 gebraically integrable foliations allow to investigate the existence of (b
 ounded) complements in the foliated setting. As opposed to complements for
  varieties\, even the existence of Q-complements due to the general failur
 e of Bertini-type results is by no means trivial. we show the existence of
  Q-complements for algebraically integrable log-Fano foliations on klt var
 ieties. This is ajoint work with Y.Chen and P. Vogtli.</p>
DTEND;TZID=Europe/Zurich:20260414T120000
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