Abstract
We propose a geometric interpretation of Block and Göttsche’s refined tropical curve counting invariants in terms of virtual specializations of motivic measures of semialgebraic sets in relative Hilbert schemes. We prove that this interpretation is correct for linear series of genus 1, and in arbitrary genus after specializing from –genus to Euler characteristic.
Citation
Johannes Nicaise. Sam Payne. Franziska Schroeter. "Tropical refined curve counting via motivic integration." Geom. Topol. 22 (6) 3175 - 3234, 2018. https://doi.org/10.2140/gt.2018.22.3175
Information