2002/05/31 by Paolo Stellari
Mathematics · #math.AG #msc:14J28
published as Geom. Dedic. 108 (2004), 1--13 · LaTeX, 10 pages
arxiv created 2005/05/25 · arxiv updated 2009/11/30
In this paper we prove some results about K3 surfaces with Picard number 1 and 2. In particular, we give a new simple proof of a theorem due to Oguiso which shows that, given an integer N, there is a K3 surface with Picard number 2 and at least N non-isomorphic FM-partners. We describe also the Mukai vectors of the moduli spaces associated to the Fourier-Mukai partners of K3 surfaces with Picard number 1.