A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
Paper classifies bifurcations of Minkowski symmetry sets for plane curves.
Paper solves four problems of pseudo-circle envelopes in Minkowski plane.
We consider self-dual metrics on 3CP^2 of positive scalar curvature admitting a non-trivial Killing field, but which is not conformally isometric to LeBrun's metrics. Firstly, we determine defining equations of the twistor spaces of such self-dual metrics. Next we prove that conversely, the complex threefolds defined b…
The paper encodes local shapes of polynomial curves using permutations.
We develop the theory of resolvent degree, introduced by Brauer \cite{Br} in order to study the complexity of formulas for roots of polynomials and to give a precise formulation of Hilbert's 13th Problem. We extend the context of this theory to enumerative problems in algebraic geometry, and consider it as an intrinsic…
Let be a smooth irreducible nondegenerate projective variety and let denote its dual variety. It is well known that , the dual of the 2-secant variety of , is a component of the singular locus of . The locus of bitangent hyperplanes, i.e. hyperplanes tangent to at least two points of , is…
We construct a topological invariant of algebraic plane curves, which is in some sense an adaptation of the linking number of knot theory. This invariant is shown to be a generalization of the I-invariant of line arrangements developed by the first author with Artal and Florens. We give two practical tools for computin…
Researchers prove rigidity of 2D manifolds from boundary geodesic lengths.