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SUMMARY:Enis Kaya (KU Leuven)
DTSTART:20241101T124000Z
DTEND:20241101T134000Z
DTSTAMP:20260423T021244Z
UID:OBAGS/53
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OBAGS/53/">R
 ational curves on del Pezzo surfaces</a>\nby Enis Kaya (KU Leuven) as part
  of ODTU-Bilkent Algebraic Geometry Seminars\n\n\nAbstract\nIn this talk\,
  we explore the connection between the enumerative geometry of rational cu
 rves on del Pezzo surfaces over a field k and the arithmetic properties of
  k. In particular\, we classify the number of k-rational lines and conic f
 amilies that can occur on del Pezzo surfaces of degrees 3 through 9 in ter
 ms of the Galois theory of k\, and we give partial results in degrees 1 an
 d 2. Our results generalize well-known theorems in the setting of smooth c
 ubic surfaces. This is joint work in progress with Stephen McKean\, Sam St
 reeter and Harkaran Uppal.\n
LOCATION:https://researchseminars.org/talk/OBAGS/53/
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