منابع مشابه
On Holomorphic Curves in Algebraic Torus
We study entire holomorphic curves in the algebraic torus, and show that they can be characterized by the “growth rate” of their derivatives.
متن کاملHolomorphic curves in Exploded Torus Fibrations: Compactness
The category of exploded torus fibrations is an extension of the category of smooth manifolds in which some adiabatic limits look smooth. (For example, the type of limits considered in tropical geometry appear smooth.) In this paper, we prove a compactness theorem for (pseudo)holomorphic curves in exploded torus fibrations. In the case of smooth manifolds, this is just a version of Gromov’s com...
متن کاملMembranes Wrapped on Holomorphic Curves
We construct supergravity solutions dual to the twisted field theories arising when M-theory membranes wrap holomorphic curves in Calabi–Yau n-folds. The solutions are constructed in an Abelian truncation of maximal D = 4 gauged supergravity and then uplifted to D = 11. For four-folds and five-folds we find new smooth AdS/CFT examples and for all cases we analyse the nature of the singularities...
متن کاملOn Holomorphic Curves in Semi-abelian Varieties
The algebraic degeneracy of holomorphic curves in a semiAbelian variety omitting a divisor is proved (Lang’s conjecture generalized to semi-Abelian varieties) by making use of the jet-projection method and the logarithmic Wronskian jet differential after Siu-Yeung. We also prove a structure theorem for the locus which contains all possible image of non-constant entire holomorphic curves in a se...
متن کاملHolomorphic cuves in Exploded Torus Fibrations: Regularity
The category of exploded torus fibrations is an extension of the smooth category related to tropical geometry in which some adiabatic limits appear as smooth families. This paper contains regularity results for families of holomorphic curves in this category. The main result is a local model for the moduli space of holomorphic curves, which in the case of transversality of the ∂̄ equation implie...
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ژورنال
عنوان ژورنال: Kyoto Journal of Mathematics
سال: 2007
ISSN: 2156-2261
DOI: 10.1215/kjm/1250692296