منابع مشابه
Stable bundles on positive principal elliptic fibrations
Abstract Let π −→ X be a principal elliptic fibration over a Kähler base X . We assume that the Kähler form on X is lifted to an exact form on M (such fibrations are called positive). Examples of these are regular Vaisman manifolds (in particular, the regular Hopf manifolds) and Calabi-Eckmann manifolds. Assume that dimM > 2. Using the KobayashiHitchin correspondence, we prove that all stable b...
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On the category of bisimplicial sets there are different Quillen closed model structures associated to various definitions of fibrations. In one of them, which is due to Bousfield and Kan and that consists of seeing a bisimplicial set as a simplicial object in the category of simplicial sets, fibrations are those bisimplicial set maps such that each of the induced simplicial set maps is a Kan f...
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In this paper we investigate the geometry of Calibrated submanifolds and study relations between their moduli-space and geometry of the ambient manifold. In particular for a Calabi-Yau manifold we define Special Lagrangian submanifolds for any Kahler metric on it. We show that for a choice of Kahler metric the Borcea-Voisin threefold has a fibration structure with generic fiber being a Special ...
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Let G be a reductive complex linear algebraic group, which in this paper for simplicity we shall always assume to be simple and simply connected, and let Lie(G) = g. This paper is the third in a series concerned with the study of holomorphic principal G-bundles over elliptic fibrations. The first paper in the series studied the moduli space M of Gbundles on a smooth elliptic curve E by means of...
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Initiated by Gromov in [1], the study of holomorphic curves in symplectic manifolds has been a powerfull tool in symplectic topology, however the moduli space of holomorphic curves is often very difficult to find. A common technique is to study the limiting behavior of holomorphic curves in a degenerating family of complex structures which corresponds to a kind of adiabatic limit. The category ...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1963
ISSN: 0002-9947
DOI: 10.2307/1993888