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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