Effective formulas for the Łojasiewicz exponent at infinity
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Publication:1020962
DOI10.1016/j.jpaa.2009.01.016zbMath1163.14315OpenAlexW2023426562MaRDI QIDQ1020962
Stanisław Spodzieja, Tomasz Rodak
Publication date: 4 June 2009
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jpaa.2009.01.016
Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Theory of computing (68Q99)
Related Items (7)
Metric properties of semialgebraic mappings ⋮ Separation of real algebraic sets and the Łojasiewicz exponent ⋮ Algebra of bounded polynomials on a set Zariski closed at infinity cannot be finitely generated ⋮ Extensions of real regular mappings and the Łojasiewicz exponent at infinity ⋮ Extensions of regular mappings and the Łojasiewicz exponent at infinity ⋮ Łojasiewicz inequality for a pair of semialgebraic functions ⋮ Effective formulas for the local Łojasiewicz exponent
Uses Software
Cites Work
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- Degree bounds for the division problem in polynomial ideals
- Inégalités de Lojasiewicz globales. (Global Lojasiewicz inequalities)
- On the Łojasiewicz exponent
- Bounds for the degrees in the Nullstellensatz
- Separation of algebraic sets and the Łojasiewicz exponent of polynomial mappings
- Algorithms for residues and Łojasiewicz exponents
- On the Malgrange condition for complex polynomials of two variables
- The gradient of a polynomial at infinity
- Łojasiewicz inequalities for sets definable in the structure \({\mathbb R}_{\text{exp}}\)
- Effective Nullstellensatz for arbitrary ideals
- A note on separation of algebraic sets and the Łojasiewicz exponent for polynomial mappings
- On the division of distributions by polynomials
- Injectivity of real polynomial maps and Łojasiewicz exponents at infinity
- On the effective Nullstellensatz
- On the growth of proper polynomial mappings
- A Global Lojasiewicz Inequality for Algebraic Varieties
- A set on which the Łojasiewicz exponent at infinity is attained
- On asymptotic critical values of a complex polynomial
- The Lojasiewicz exponent at infinity for overdetermined polynomial mappings
- On the Łojasiewicz exponent at infinity for polynomial mappings of ℂ² into ℂ² and components of polynomial automorphisms of ℂ²
- Sharp Effective Nullstellensatz
- The Fedoryuk Condition and the Łojasiewicz Exponent near a Fibre of a Polynomial
- On the Łojasiewicz Exponent near the Fibre of a Polynomial
- Explicit bounds for the Łojasiewicz exponent in the gradient inequality for polynomials
- The Łojasiewicz gradient inequality in a neighbourhood of the fibre
- An effective Łojasiewicz inequality for real polynomials
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