Mathematics – Algebraic Geometry
Scientific paper
1998-03-25
Mathematics
Algebraic Geometry
plainTex, 38 pages
Scientific paper
We study holomorphic 2-forms on projective (or compact Kaehler) threefolds not of general type and prove that in almost all cases the 2-form is created by some standard process. This means roughly that every 2-form is induced by a meromorphic map to a surface, a torus or a symplectic manifold. If the 2-form has only finitely many zeroes, more precise results hold. Finally we prove that compact Kaehler threefolds with negative Kodaira dimension are uniruled unles they are simple, i.e. there is no positive dimensional compact subvariety through the general point of the manifold (these simple threefolds are expected not to exist). This generalises the fundamental result of Miyaoka and Mori to the Kaehler (non-simple) case.
Campana Frederic
Peternell Thomas
No associations
LandOfFree
Holomorphic 2-forms on Complex Threefolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Holomorphic 2-forms on Complex Threefolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Holomorphic 2-forms on Complex Threefolds will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-280490