Turkish Journal of Mathematics
DOI
-
Abstract
Consider the self-intersection number [\Sigma].[\Sigma] of a 2-dimensional sphere \Sigma embedded into a K3 surface. Since a K3 surface is spin, [\Sigma].[\Sigma] is even and by Gauge theoretical arguments [\Sigma].[\Sigma]\le 0. No other restriction on [\Sigma].[\Sigma] is known. It is a problem 4.105(D) from the Kirby list \cite{K} to determine the possible values of [\Sigma].[\Sigma]. This paper shows that the even numbers between 0 and -86 do appear as [\Sigma].[\Sigma].
First Page
129
Last Page
131
Recommended Citation
FINASHIN, Sergey and MIKHALKIN, Grigory (1997) "A (--86)-Sphere in the K3 Surface," Turkish Journal of Mathematics: Vol. 21: No. 1, Article 13. Available at: https://journals.tubitak.gov.tr/math/vol21/iss1/13
