36 citations · 120 across the 24 of their papers we have counts for
6 papers · 1 filter
A special Calabi-Yau degeneration with trivial monodromy
Slawomir Cynk, Duco van Straten
A well-known theorem of Kulikov, Persson and Pinkham states that a degeneration of a family of K3-surfaces with trivial monodromy can be completed to a smooth family. We give a sim…
Bhabha Scattering and a special pencil of K3 surfaces
Dino Festi, Duco van Straten
We study a pencil of K3 surfaces that appeared in the -loop diagrams in Bhabha scattering. By analysing in detail the Picard lattice of the general and special members of the pe…
KAM THEORY. Part 3. Applications
Mauricio Garay, Duco van Straten
We apply the general normal form theorems in Kolmogorov spaces to three classical cases: deformations of hypersurface singularities, normal forms of vector fields and invariant tor…
KAM Theory. Part II. Kolmogorov spaces
Mauricio Garay, Duco van Straten
This is part II of our book on KAM theory. We start by defining functorial analysis and then switch to the particular case of Kolmogorov spaces. We develop functional calculus base…
Rationalizing roots: an algorithmic approach
Marco Besier, Duco van Straten, Stefan Weinzierl
In the computation of Feynman integrals which evaluate to multiple polylogarithms one encounters quite often square roots. To express the Feynman integral in terms of multiple poly…
KAM Theory. Part I. Group actions and the KAM problem
Mauricio Garay, Duco van Straten
This is part I of a book on KAM theory. We start from basic symplectic geometry, review Darboux-Weinstein theorems action angle coordinates and their global obstructions. Then we e…