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We introduce two entire functions $f_{A_{\frac{1}{2} \infty}}$ and $f_{D_{\frac{1}{2} \infty}}$ in two variables. Both of them have only two critical values $0$ and $1$ , and the associated maps $C^{2} \to C$ define topologically locally trivial fibrations over $C ∖ {0, 1}$ . All critical points in the singular fibers over $0$ and $1$ are ordinary double points, and the associated vanishing cycles span the middle homology group of the general fiber, whose intersection diagram forms bi-partitely decomposed infinite quivers of type $A_{\frac{1}{2} \infty}$ and $D_{\frac{1}{2} \infty}$ , respectively. Coxeter elements of type $A_{\frac{1}{2} \infty}$ and...

Coxeter-Dynkin diagrams of fat points in C² and of their stabilizations.

W. Ebeling, S.M. Gusein-Zade (1996)

Mathematische Annalen

Coxeter-Dynkin diagrams of the complete intersection singularities Z9 and Z10.

W. Ebeling, S.M. Gusein-Zade (1995)

Mathematische Zeitschrift

Displaying 1 – 7 of 7

Cohomologically insignificant degenerations

Cohomologically insignificant degenerations of algebraic varieties

Computing versal deformations.

Constant Milnor Number Implies Constant Multiplicity for Quasihomogeneous Singularities.

Coxeter elements for vanishing cycles of types A 1 2 ∞ and D 1 2 ∞

Coxeter-Dynkin diagrams of fat points in C² and of their stabilizations.

Coxeter-Dynkin diagrams of the complete intersection singularities Z9 and Z10.

Currently displaying 1 – 7 of 7

Coxeter elements for vanishing cycles of types $A_{\frac{1}{2} \infty}$ and $D_{\frac{1}{2} \infty}$