2 papers
math.LO2024
Partitioning Theorems for Sets of Semi-Pfaffian Sets, with Applications
Martin Lotz, Abhiram Natarajan, Nicolai Vorobjov
We generalize the seminal polynomial partitioning theorems of Guth and Katz to a set of semi-Pfaffian sets. Specifically, given a set of -dimensional s…
math.AG2018
Zeroes of polynomials on definable hypersurfaces: pathologies exist, but they are rare
Saugata Basu, Antonio Lerario, Abhiram Natarajan
Given a sequence of smooth and compact hypersurfaces in , we prove that (up to extracting subsequences) there exists a regular definab…