Leseprobe
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Lectures on Complex Analytic Varieties (MN-14), Volume 14
Robert C. Gunning
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Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
This book is a sequel to Lectures on Complex Analytic Varieties: The Local Paranwtrization Theorem (Mathematical Notes 10, 1970). Its unifying theme is the study of local properties of finite analytic mappings between complex analytic varieties; these mappings are those in several dimensions that most closely resemble general complex analytic mappings in one complex dimension. The purpose of this volume is rather to clarify some algebraic aspects of the local study of complex analytic varieties than merely to examine finite analytic mappings for their own sake.
Originally published in 1970.
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Removable singularity, Algebraic variety, Maximal ideal, Ring homomorphism, Finitely generated module, Algebraic surface, Mathematical induction, Open set, Topological space, Homomorphism, Power series, Theorem, Module (mathematics), Isomorphism class, Monic polynomial, Analytic function, Subalgebra, Meromorphic function, Polynomial ring, Critical point (mathematics), Algebraic extension, Existential quantification, Codimension, Complex dimension, Ring (mathematics), Characterization (mathematics), Associated prime, Modular arithmetic, Module homomorphism, Automorphism, Jacobian matrix and determinant, Polynomial, Quadratic form, Algebra homomorphism, Submanifold, Diagram (category theory), Scalar multiplication, Complete intersection, Hamiltonian mechanics, Complex number, Equivalence class, Homological dimension, Mathematics, Irreducible component, Exact sequence, Induced homomorphism, Taylor series, Homeomorphism, Algebraic curve, Surjective function, Vector space, Complex analysis, Neighbourhood (mathematics), Local ring, Dimension (vector space), Equation, Analytic continuation, Special case, Complex conjugate, Noetherian, Invertible matrix, Sheaf (mathematics), Weierstrass preparation theorem, Cohomology, Holomorphic function, Identity element, Ideal (ring theory), Quotient module, Integral domain, Several complex variables