Browsing 2017 by MSC "32"
Now showing items 1-4 of 4
Freeness of Multi-Reflection Arrangements via Primitive Vector Fields [OWP-2017-10] (Mathematisches Forschungsinstitut Oberwolfach, 2017-04-20)In 2002, Terao showed that every reflection multi-arrangement of a real reflection group with constant multiplicity is free by providing a basis of the module of derivations. We first generalize Terao's result to ...
Gradient Canyons, Concentration of Curvature, and Lipschitz Invariants [OWP-2017-35] (Mathematisches Forschungsinstitut Oberwolfach, 2017-12-13)We find new bi-Lipschitz invariants of holomorphic functions of two variables by using the gradient canyons and by combining analytic and geometric viewpoints on the concentration of curvature.
Inductive Freeness of Ziegler’s Canonical Multiderivations for Reflection Arrangements [OWP-2017-14] (Mathematisches Forschungsinstitut Oberwolfach, 2017-04-30)Let $A$ be a free hyperplane arrangement. In 1989, Ziegler showed that the restriction $A''$ of $A$ to any hyperplane endowed with the natural multiplicity is then a free multiarrangement. We initiate a study of the stronger ...
Numerical Invariants and Moduli Spaces for Line Arrangements [OWP-2017-02] (Mathematisches Forschungsinstitut Oberwolfach, 2017-02-01)Using several numerical invariants, we study a partition of the space of line arrangements in the complex projective plane, given by the intersection lattice types. We offer also a new characterization of the free plane ...