Five Definitions of Critical Point at Infinity

zbMath0919.32021arXivalg-geom/9702019MaRDI QIDQ4400915

Alan H. Durfee

Publication date: 25 August 1999

Full work available at URL: https://arxiv.org/abs/alg-geom/9702019

zbMATH Keywords

surveyequisingularitycritical points at infinitygradient conditionMilnor numberslocal fibration

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Equisingularity (topological and analytic) (32S15) Local complex singularities (32S05)

Related Items (13)

Resolution at infinity and affine polar curves ⋮ On the singularities at infinity of plane algebraic curves. ⋮ Poincaré-Pontryagin-Melnikov functions for a type of perturbed degenerate Hamiltonian equations ⋮ Complete abelian integrals for polynomials whose generic fiber is biholomorphic to \(\mathbb C\) ⋮ Invertible polynomial mappings via Newton non-degeneracy ⋮ Fibred multilinks and singularities \(f\bar g\) ⋮ Bifurcation sets and global monodromies of Newton nondegenerate polynomials on algebraic sets ⋮ On the topology of the Newton boundary at infinity ⋮ Detecting bifurcation values at infinity of real polynomials ⋮ Gauss-Manin connection of hyperelliptic polynomials ⋮ Global asymptotics for multiple integrals with boundaries. ⋮ Bifurcation locus and branches at infinity of a polynomial \(f:\mathbb {C}^2\to \mathbb {C}\) ⋮ Milnor number of pairs and pencils of plane holomorphic germs

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