Browsing by Author "Dimca, Alexandru"
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- ItemLogarithmic Vector Fields and Freeness of Divisors and Arrangements: New perspectives and applications (online meeting)(Zürich : EMS Publ. House, 2021) Dimca, Alexandru; Feichtner, Eva-Maria; Röhrle, GerhardThe central topic of the workshop was the notion of logarithmic vector fields along a divisor in a smooth complex analytic or algebraic variety, i.e., the vector fields on the ambient variety tangent to the divisor. Following their introduction by K.~Saito for the purpose of studying the universal unfolding of an isolated singularity, this fundamental object has been the focus of studies in a wide range of mathematical fields such as algebra, algebraic geometry, singularity theory, root systems, (geometric) representation theory, combinatorics, (toric) topology, or symplectic geometry. In the last few years the logarithmic vector field approach has seen some unexpected and striking advances and deep applications. The aim of the workshop was to provide reports and to share these various new developments in the field.
- ItemNumerical invariants and moduli spaces for line arrangements(Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2017) Dimca, Alexandru; Ibadula, Denis; Măcinic, Daniela AncaUsing 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 oer also a new characterization of the free plane curves using the Castelnuovo-Mumford regularity of the associated Milnor/Jacobian algebra.