Complex Curves in Almost-Complex Manifolds and Meromorphic Hulls

1999/12/06 by Sergei Ivashkovich, Ivashkovich, Sergei, Vsevolod Shevchishin +1 · 2 citations
Mathematics · #32-02 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Symplectic Geometry (math.SG) #math.AG #math.CV #math.DG #math.SG #msc:32-02

paper · pdf · doi:10.48550/arxiv.math/9912046

186 pages, 16 figures

arxiv created 1999/12/06 · openalex publication_date 1999/12/06 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This are the notes of a course, given by the first author for the Graduiertenkollegs (=graduate students) at the Ruhr-University Bochum, in December 1997. These lectures pursued two main tasks: FIRST - to give a systematic and self-contained introduction to the Gromov theory of pseudoholomorphic curves. This is done in Chapters I,II,III. SECOND - to explain our join results on envelopes of meromorphy of real surfaces in complex two-dimensional manifolds. We do this in Chapter IV.

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