HyperKähler Manifolds and Birational Transformations
نویسنده
چکیده
The minimal model program has greatly enhanced our knowledge on birational geometry of varieties of dimension 3 and higher. About the same time, the last two decades have also witnessed increasing interests in HyperKähler manifolds, a particular class of Calabi-Yau manifolds. One interest in this area, which we hope to treat in the future, is to investigate the behavior of the SYZ mirror conjecture ([13]) under birational maps. The present paper focuses on the birational geometry of projective symplectic varieties and attempts to reconcile the two approaches altogether in arbitrary dimensions.
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تاریخ انتشار 1983