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SUMMARY:Helge Ruddat (University of Hamburg)
DTSTART:20211209T150000Z
DTEND:20211209T160000Z
DTSTAMP:20260423T053132Z
UID:ZAG/171
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/171/">Fa
 no manifolds from smoothing toroidal crossing varieties</a>\nby Helge Rudd
 at (University of Hamburg) as part of ZAG (Zoom Algebraic Geometry) semina
 r\n\n\nAbstract\nI am reporting on a joint work with Corti\, Felten\, Petr
 acci where we put particular singular log structures on toroidal crossing 
 spaces. We prove various properties of the resulting reflexive log differe
 ntial forms from using local log smooth log crepant resolutions. The prope
 rties give the ingredients to conclude the Hodge to de Rham degeneration a
 nd the smoothability of the toroidal crossing Fano variety. All Fanos with
  very amply anticanonical divisor are obtained from so called "admissible"
  log singularties by this method. We believe that yet more general log sin
 gularities give all Fano manifolds with non-empty anticanonical class by s
 imilar methods.\n
LOCATION:https://researchseminars.org/talk/ZAG/171/
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