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SUMMARY:Jean-Louis Colliot-Thélène (CNRS et Université Paris-Saclay)
DTSTART:20200609T130000Z
DTEND:20200609T140000Z
DTSTAMP:20260422T221729Z
UID:WarwickAG/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WarwickAG/3/
 ">On the integral Tate conjecture for 1-cycles on the product of a curve a
 nd a surface over a finite field</a>\nby Jean-Louis Colliot-Thélène (CNR
 S et Université Paris-Saclay) as part of Warwick algebraic geometry semin
 ar\n\n\nAbstract\nLet X be the product of a smooth projective curve C and 
 a smooth projective surface S over a finite field F. Assume the Chow group
  of zero-cycles on S is just Z over any algebraically closed field extensi
 on of F (example : Enriques surface). We give a simple condition on C and 
 S which ensures that the integral Tate conjecture holds for 1-cycles on X.
  An equivalent formulation is a vanishing result for unramified cohomology
  of degree 3. This generalizes a result of A. Pirutka (2016). It is a join
 t work with Federico Scavia (UBC\, Vancouver).\n
LOCATION:https://researchseminars.org/talk/WarwickAG/3/
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