منابع مشابه
Holomorphic 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...
متن کاملTorus fibrations on symplectic four-manifolds
This paper comprises two parts: both are concerned with the symplectic geometry of four-manifolds fibred by tori. The first part concerns the topological constraints placed on a closed four-manifold by the existence of an integrable system; the second seeks to understand a particular class of Lefschetz pencils. In the first half, we narrow ourselves to quadratic singularities by virtue of the g...
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 کاملRational Fibrations of M5,1 and M6,1
We construct rational maps from M5,1 and M6,1 to lower-dimensional moduli spaces. As a consequence, we identify geometric divisors that generate extremal rays of the effective cones for these spaces.
متن کاملTorus Fibrations of Calabi-yau Hypersurfaces in Toric Varieties
1. Introduction. Strominger, Yau, and Zaslow [SYZ] conjectured that any Calabi-Yau manifold X having a mirror partner X ∨ should admit a special Lagrangian fi-bration π : X → B. (A mathematical account of their construction can be found in [M].) If so, the mirror manifold X ∨ is obtained by finding some suitable compactifi-cation of the moduli space of flat U(1)-bundles along the nonsingular fi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1999
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(98)00004-8