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SUMMARY:Xi Chen (Univ of Alberta)
DTSTART:20250314T150000Z
DTEND:20250314T161500Z
DTSTAMP:20260423T005847Z
UID:CIRGET/141
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/CIRGET/141/"
 >Cuspidal curves on K3 surfaces</a>\nby Xi Chen (Univ of Alberta) as part 
 of CRM - Séminaire du CIRGET / Géométrie et Topologie\n\nLecture held i
 n PK-5115.\n\nAbstract\nA cusp is a curve singularity that is locally irre
 ducible. A\ncuspidal curve is a curve with only cusps as singularities.\nT
 opologically\, a cuspidal curve is homeomorphic to its normalization.\nRat
 ional cuspidal curves on the projective plane have been extensively\nstudi
 ed classically. Rational curves with one\, two and three cusps\nwere expli
 citly constructed. It is known that the number of cusps of\nthese curves a
 re bounded\, regardless of the degree of the curve. It is\nconjectured tha
 t there are no rational cuspidal plane curves with 5 or\nmore cusps. On th
 e other hand\, the degrees of these curves are\nunbounded. We will study r
 ational cuspidal curves on K3 surfaces. On\nK3 surfaces\, there is actuall
 y an upper bound for the degree of these\ncurves. This is a joint work wit
 h Frank Gounelas.\n
LOCATION:https://researchseminars.org/talk/CIRGET/141/
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