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SUMMARY:Lucas das Dores (IMPA)
DTSTART:20200422T183000Z
DTEND:20200422T193000Z
DTSTAMP:20260423T004547Z
UID:BRAG/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BRAG/3/">Sch
 emes of rational curves on Del Pezzo surfaces</a>\nby Lucas das Dores (IMP
 A) as part of Brazilian algebraic geometry seminar\n\n\nAbstract\nSchemes 
 parametrizing rational curves on a projective variety have a natural parti
 tion in terms of the degrees of the rational curves. In this talk\, we pre
 sent a natural refinement of this partition on schemes parametrizing ratio
 nal curves on Del Pezzo surfaces. The classical description of Del Pezzo s
 urfaces as blow-ups of the projective plane at points in general position 
 yields that these refined partitions reflect the multiplicity of the ratio
 nal curves at each of the blown-up points. Moreover\, we compute the dimen
 sion of components of these parameter spaces containing (points correspond
 ing to) resolutions of plane curves which are singular at the blown-up poi
 nts.\n
LOCATION:https://researchseminars.org/talk/BRAG/3/
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