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UID:news922@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20191127T114131
DTSTART;TZID=Europe/Zurich:20191203T103000
SUMMARY:Seminar Algebra and Geometry: Erik Paemurru (University of Loughbor
 ough)
DESCRIPTION:It is known that quasismooth 3-fold Fano hypersurfaces with ind
 ex 1 in weighted projective spaces over ℂ are birationally rigid (not bi
 rational to any other Fano 3-folds\, conic bundles or del Pezzo fibrations
 ). But very little is known when they carry non-orbifold singularities. I 
 consider sextic double solids\, one of the simplest such 3-folds\, which h
 ave an isolated cA_n singularity. I have shown that n is at most 8\, and t
 hat rigidity fails for n > 3. In this talk\, I will illustrate this phenom
 enon by giving some examples.
X-ALT-DESC:It is known that quasismooth 3-fold Fano hypersurfaces with inde
 x 1 in weighted projective spaces over ℂ are birationally rigid (not bir
 ational to any other Fano 3-folds\, conic bundles or del Pezzo fibrations)
 . But very little is known when they carry non-orbifold singularities. I c
 onsider sextic double solids\, one of the simplest such 3-folds\, which ha
 ve an isolated cA_n singularity. I have shown that n is at most 8\, and th
 at rigidity fails for n &gt\; 3. In this talk\, I will illustrate this phe
 nomenon by giving some examples. 
DTEND;TZID=Europe/Zurich:20191203T120000
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