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This subtopic studies local analytic geometry, focusing on germs, local rings, and the structure of complex-analytic singularities.
32B05 studies analytic algebras and generalizations, preparation theorems in local analytic geometry. It studies analytic sets and local geometric structure in complex spaces, emphasizing germs, singularities, and local models.
Local Analytic Geometry (Wikipedia)
Used to understand local behavior of complex analytic varieties.
32B10 studies germs of analytic sets, local parametrization in local analytic geometry. It studies analytic sets and local geometric structure in complex spaces, emphasizing germs, singularities, and local models.
Local Analytic Geometry (Wikipedia)
Used to understand local behavior of complex analytic varieties.
32B15 studies analytic sets, complex analytic sets in local analytic geometry. It studies analytic sets and local geometric structure in complex spaces, emphasizing germs, singularities, and local models.
Local Analytic Geometry (Wikipedia)
Used to understand local behavior of complex analytic varieties.
32B20 studies semi-analytic sets and subanalytic sets in local analytic geometry. It studies analytic sets and local geometric structure in complex spaces, emphasizing germs, singularities, and local models.
Local Analytic Geometry (Wikipedia)
Used to understand local behavior of complex analytic varieties.
32B25 studies triangulation and related questions in local analytic geometry. It studies analytic sets and local geometric structure in complex spaces, emphasizing germs, singularities, and local models.
Local Analytic Geometry (Wikipedia)
Used to understand local behavior of complex analytic varieties.