We introduce a new approach for studying incidences with non-algebraic curves in the plane. This approach is based on the concepts of Pfaffian curves and Pfaffian functions, as defined by Khovanskii. We derive incidence bounds for curves that are defined with exponentials, logarithms, trigonometric functions, integration, and more. Our bound for incidences with Pfaffian curves matches a classical bound of Pach and Sharir for incidences with algebraic curves, up to polylogarithmic factors.
此内容由惯性聚合(RSS阅读器)自动聚合整理，仅供阅读参考。 原文来自 — 版权归原作者所有。