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.
Study harmonic function germs' singularities under right-equivalence.
Study on classifying singularities of 2-variable harmonic function-germs up to order 7.
Study on singularities of frontal surfaces, classifying under equivalence.
We study tangential families, i.e. systems of rays emanating tangentially from given curves. We classify, up to Left-Right equivalence, stable singularities of tangential family germs (under deformations among tangential families) and we study their envelopes. We discuss applications of our results to the case of tange…
Study of normal and tangent maps to frontals.
The paper improves Zakalyukin's lemma for frontals and applies it to surface singularities.
Tangential families are 1-parameter families of rays emanating tangentially from smooth curves. We classify tangential family germs up to Left-Right equivalence: we prove that there are two infinite series and four sporadic simple singularities of tangential family germs (in addition to two stable singularities). We gi…