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SUMMARY:Ben Church (Stanford)
DTSTART:20250124T200000Z
DTEND:20250124T210000Z
DTSTAMP:20260406T162737Z
UID:agstanford/153
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/agstanford/1
 53/">Curves on complete intersections and measures of irrationality</a>\nb
 y Ben Church (Stanford) as part of Stanford algebraic geometry seminar\n\n
 Lecture held in 383-N.\n\nAbstract\nGiven a projective variety $X$\, it is
  always covered by curves obtained by taking the intersection with a linea
 r subspace. We study whether there exist curves on $X$ that have smaller n
 umerical invariants than those of the linear slices. If $X$ is a general c
 omplete intersection of large degrees\, we show that there are no curves o
 n $X$ of smaller degree\, nor are there curves of asymptotically smaller g
 onality. This verifies a folklore conjecture on the degrees of subvarietie
 s of complete intersections as well as a conjecture of Bastianelli--De Poi
 --Ein--Lazarsfeld--Ullery on measures of irrationality for complete inters
 ections. This is joint work with Nathan Chen and Junyan Zhao.\n
LOCATION:https://researchseminars.org/talk/agstanford/153/
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