Moishezon manifolds |
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Authors: | Marco Andreatta |
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Institution: | (1) Dipartimento di Matematica, Universitá di Trento, I–38050 Povo (TN), Italy (e-mail: andreatt@science.unitn.it) , IT |
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Abstract: | Let X be a compact Moishezon manifold which becomes projective after blowing up a smooth subvariety . We assume also that there exists a proper map onto a projective variety with a point, such that and is -big. We prove some inequalities between the dimensions of Y andX and we construct examples which shows the optimality of the inequalities. In the last section we discuss some differential
geometry properties of these examples which lead to a conjecture.
Received December 19, 1997 |
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Keywords: | Mathematics Subject Classification (1991):14J40 32J18 53C55 14E30 |
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