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- W2963587494 abstract "We show the intersection of a compact almost complex sub- variety of dimension 4 and a compact almost complex submanifold of codimension 2 is a J -holomorphic curve. This is a generalization of positivity of intersections for J -holomorphic curves in almost complex 4-manifolds to higher dimensions. As an application, we discuss pseudo- holomorphic sections of a complex line bundle. We introduce a method to produce J-holomorphic curves using the differential geometry of almost Hermitian manifolds. When our main result is applied to pseudoholomorphic maps, we prove the singularity subset of a pseudoholomorphic map between almost complex 4-manifolds is J -holomorphic. Building on this, we show degree one pseudoholomorphic maps between almost complex 4-manifolds are actually birational morphisms in pseudoholomorphic category." @default.
- W2963587494 created "2019-07-30" @default.
- W2963587494 creator A5058215602 @default.
- W2963587494 date "2018-01-01" @default.
- W2963587494 modified "2023-09-23" @default.
- W2963587494 title "Intersection of almost complex submanifolds" @default.
- W2963587494 doi "https://doi.org/10.4310/cjm.2018.v6.n4.a2" @default.
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