THEOREMS ON THE TOPOLOGICAL EQUISINGULARITY OF FAMILIES OF ALGEBRAIC VARIETIES AND FAMILIES OF POLYNOMIAL MAPPINGS

DOI10.1070/IM1972v006n05ABEH001909zbMath0261.14003OpenAlexW2006646657MaRDI QIDQ5676318

Publication date: 1973

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1972v006n05abeh001909

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Arithmetic ground fields (finite, local, global) and families or fibrations (14D10)

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On polynomials in three variables annihilated by two locally nilpotent derivations ⋮ Unnamed Item ⋮ Higher order approximation of analytic sets by topologically equivalent algebraic sets ⋮ Darboux linearization and isochronous centers with a rational first integral ⋮ Arc-wise analytic stratification, Whitney fibering conjecture and Zariski equisingularity ⋮ Stratifications of equivariant varieties ⋮ Un théorème du type de Lefschetz ⋮ Bifurcation sets and global monodromies of Newton nondegenerate polynomials on algebraic sets ⋮ Jacobian conjecture as a problem on integral points on affine curves ⋮ Local topological algebraicity of analytic function germs ⋮ On the zeta-function of a polynomial at infinity ⋮ Deformations of polynomials and their zeta-functions ⋮ Algebraic varieties are homeomorphic to varieties defined over number fields ⋮ Radial index and Euler obstruction of a 1-form on a singular variety

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