We study compactifications of type IIB supergravity on Calabi-Yau threefold
s. The resulting low energy effective Lagrangian is displayed in the large
volume limit and its symmetry properties - with specific emphasis on the SL
(2,Z)- are discussed. The explicit map to type IIA string theory compactifi
ed on a mirror Calabi-Yau is derived. We argue that strong coupling effects
on the world-sheet break the SL(2,Z). (C) 2000 Elsevier Science B.V. All r
ights reserved.