Priska Jahnke and Thomas Peternell
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چکیده
A del Pezzo manifold is a projective manifold X of dimension n whose anticanonical bundle is ample and divisible by n−1 in the Picard group. These manifolds are classical objects in algebraic geometry and completely classified (Iskovskikh, Fujita, ...). In terms of differential geometry one classifies manifolds with positive Ricci curvature whose canonical class has the above divisibility. It is therefore natural to allow some degeneracies of the curvature and ask for a classification. This is the purpose of this paper: we consider projective manifolds X with nef anticanonical class −KX such that (−KX) > 0. In terms of differential geometry, the Ricci curvature is non-negative, and the curvature is positive at some point.
منابع مشابه
Threefolds with Big and Nef Anticanonical Bundles Ii Priska Jahnke, Thomas Peternell, and Ivo Radloff
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متن کاملGorenstein Fano Threefolds with Base Points in the Anticanonical System Priska Jahnke and Ivo Radloff
In the classification of Fano varieties, those which are not “Gino Fano”, i.e., where −KX is ample but not very ample, are usually annoying. In the beginning of his classification of Fano threefolds, Iskovskikh listed those for which |−KX | is not free. The purpose of this article is to see how his result extends to the canonical Gorenstein case. If X is a Gorenstein Fano threefold with at wors...
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تاریخ انتشار 2006