scientific article

zbMath0717.32006MaRDI QIDQ3204736

Piotr Tworzewski

Publication date: 1990

Full work available at URL: http://www.numdam.org/item?id=ASNSP_1990_4_17_2_227_0

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zbMATH Keywords

algebraic setsNash germsintersections of germs of analytic sets

Mathematics Subject Classification ID

Germs of analytic sets, local parametrization (32B10) Real-analytic sets, complex Nash functions (32C07) Nash functions and manifolds (14P20)

Related Items (19)

Effective approximation of the solutions of algebraic equations ⋮ Vertical components and flatness of Nash mappings ⋮ Approximation of holomorphic maps from Runge domains to affine algebraic varieties ⋮ CR-continuation of arc-analytic maps ⋮ Algebraic approximation of analytic subsets of \(\mathbb C^q\times\{0\}\) in \(\mathbb C^{q+1}\) ⋮ Approximation of analytic sets by Nash tangents of higher order ⋮ Holomorphic isometries into homogeneous bounded domains ⋮ On holomorphic isometries into blow-ups of \(\mathbb{C}^n\) ⋮ Tameness of holomorphic closure dimension in a semialgebraic set ⋮ Approximation of analytic sets with proper projection by algebraic sets ⋮ Osgood-Hartogs-theorems of mixed type ⋮ On Nash approximation of complex analytic sets in Runge domains ⋮ Higher order approximation of analytic sets by topologically equivalent algebraic sets ⋮ Algebraic approximation of analytic sets and mappings ⋮ Higher order approximation of complex analytic sets by algebraic sets ⋮ Flatness testing and torsion freeness of analytic tensor powers ⋮ On the non-existence of common submanifolds of Kähler manifolds and complex space forms ⋮ Approximation of analytic sets along Nash subvarieties ⋮ Approximation of analytic sets with proper projection by Nash sets

Cites Work

• Algebraic geometry and analytic geometry
• Average growth estimates for hyperplane sections of entire analytic sets
• Potential theory on complex projective space: Application to characterization of pluripolar sets and growth of analytic varieties
• The growth of the area of a transcendental analytic set. I, II
• Continuity of total number of intersection
• A note on rational function of several complex variables
• The area of analytic varieties in $\mathsf{C}^n$
• Invariant Forms on Grassmann Manifolds. (AM-89)
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