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UID:news1877@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20250512T093231
DTSTART;TZID=Europe/Zurich:20250514T143000
SUMMARY:Seminar Algebra and Geometry: Sokratis Zikas (IMPA)
DESCRIPTION:Mori Dream Spaces are a special kind of varieties introduced by
  Hu and Keel that enjoy very good properties with respect to the Minimal M
 odel Program. While Mori Dreamness is a very desirable property\, it is no
 t very well behaved with respect to even the simplest birational maps: blo
 wups. In this talk we study Mori Dreamness of blowups along space curves: 
 we provide various sufficient criteria as well obstructions to the blowup 
 being a Mori Dream Space. We also study how this property behaves while va
 rying the curve in the corresponding Hilbert scheme and show that it is ne
 ither an open nor a closed condition. Furthermore we exhibit examples of H
 ilbert schemes whose general element does not give rise to a Mori Dream Sp
 ace\, while special elements do\, and vice versa. This is joint work in p
 rogress with Tiago Duarte Guerreiro.
X-ALT-DESC:<p>Mori Dream Spaces are a special kind of varieties introduced 
 by Hu and Keel that enjoy very good properties with respect to the Minimal
  Model Program. While Mori Dreamness is a very desirable property\, it is 
 not very well behaved with respect to even the simplest birational maps: b
 lowups. In this talk we study Mori Dreamness of blowups along space curves
 : we provide various sufficient criteria as well obstructions to the blowu
 p being a Mori Dream Space. We also study how this property behaves while 
 varying the curve in the corresponding Hilbert scheme and show that it is 
 neither an open nor a closed condition. Furthermore we exhibit examples of
  Hilbert schemes whose general element does not give rise to a Mori Dream 
 Space\, while special elements do\, and vice versa.&nbsp\;This is joint wo
 rk in progress with Tiago Duarte Guerreiro.</p>
DTEND;TZID=Europe/Zurich:20250514T160000
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