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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：On Deligne-Beilinson cohomology of the universal K3 surface
泛K3曲面 Deligne-Beilinson 同调
2023/5/15
O'Grady's generalized Franchetta conjecture is concerned with algebraic cycles of codimension 2 on the universal polarized K3 surface of genus g. This conjecture has been confirmed only for certain sm...
Rational curves on the supersingular K3 surface with Artin invariant 1 in characteristic 3
Rational curves supersingular K3 surface Artin invariant 1 Algebraic Geometry
2011/8/30
Abstract: We show the existence of 112 non-singular rational curves on the supersingular K3 surface with Artin invariant 1 in characteristic 3 by several ways. Using these rational curves, we have a $...
Consider the self-intersection number [S].[S] of a 2-dimensional sphere S embedded into a K3 surface. Since a K3 surface is spin, [S].[S] is even and by Gauge theoretical arguments [S].[S]\le 0. No ot...