A HIGH FIBERED POWER OF A FAMILY OF VARIETIES OF GENERAL TYPE DOMINATES A VARIETY OF GENERAL TYPE with a few diagrams and one illustration
نویسنده
چکیده
Theorem 0.1 (Fibered power theorem). Let X → B be a smooth family of positive dimensional varieties of general type, with B irreducible. Then there exists an integer n > 0, a positive dimensional variety of general type Wn, and a dominant rational map X B 99K Wn. Specifically, let mn : X n B 99K Wn be the n-pointed birational-moduli map. Then for sufficiently large n, Wn is a variety of general type.
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