On the number of Fourier-Mukai partners of a K3 surface
by Finkel, Daniel, Ph.D., UNIVERSITY OF WASHINGTON, 2010, 68 pages; 3421766

Abstract:

In this thesis, we define an equivalence on the Mukai vectors and use results of Madonna and Nikulin to compare two different Fourier-Mukai partners of a particular choice of K3 surface. It turns out that there is a very simple method of understanding Fourier-Mukai transforms combinatorially in this context. As an application, we present a new proof that for any integer n, a K3 surface exists that has at least n Fourier-Mukai partners.

 
AdviserSandor Kovacs
SchoolUNIVERSITY OF WASHINGTON
SourceDAI/B 71-10, p. , Sep 2010
Source TypeDissertation
SubjectsMathematics
Publication Number3421766
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