M.I.T. Algebraic Geometry Seminar - David McKinnon
Friday March 12 , 4:00pm-5:30pm
Room 2-255
Counting Rational Points on K3 Surfaces
The arithmetic structure of a K3 surface X is
conjecturally dependent on the rational curves on X. For certain
Kummer surfaces X, I construct a finite set of rational curves on X
which contain "most" of the rational points of X, and derive as a special
case precise estimates of the number of rational points of bounded height
on X.
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