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Exponentially and non-exponentially small splitting of separatrices for the pendulum with a fast meromorphic perturbation
non-exponentially small splitting fast meromorphic perturbation Dynamical Systems
2011/9/29
Abstract: In this paper we study the splitting of separatrices phenomenon which arises when one considers a Hamiltonian System of one degree of freedom with a fast periodic or quasiperiodic and meromo...
Green Currents for Meromorphic Maps of Compact Kahler Manifolds
Green Currents Meromorphic Maps Compact Kahler Manifolds
2011/9/9
Abstract: We consider the dynamics of meromorphic maps of compact K\"ahler manifolds. In this work, our goal is to locate the non-nef locus of invariant classes and provide necessary and sufficient co...
Pull-back of currents by meromorphic maps
Currents Dominant meromorphic maps Intersection of currents Pullback of currents
2011/8/31
Abstract: Let $X$ and $Y$ be compact Kahler manifolds, and let $f:X\rightarrow Y$ be a dominant meromorphic map. We define a pullback operator $f^{\sharp}$ (and its local version) for currents of the ...