Large Monodromy for a Family of Surfaces of General Type
نویسنده
چکیده
We study a polarized family π : X → R of 2-dimensional complex projective varieties, originally constructed by Catanese and Ciliberto, whose smooth fibers are surfaces of general type with invariants pg = q = 1, K2 = 3. By studying degenerations within a subfamily, we show that the Zariski-closure of the image of the monodromy representation on the second cohomology of a smooth fiber is as large as possible.
منابع مشابه
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تاریخ انتشار 2009