Let A be an abelian surface of Picard number 1 In [Yo6], Yoshioka gave a lattice theoretic description of the movable cone Mov(Kml−1(A)) and the nef cone Nef(Kml−1(A)) of a generalized Kummer variety Kml−1(A) (l 3). In this thesis, we shall give a more concrete description of Nef(Km2(A)) and Mov(Km2(A)). We also describe the chamber decomposition for Mov(Km2(A)).
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