Tropical refined curve counting via motivic integration

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Publication:1785080

DOI10.2140/GT.2018.22.3175zbMATH Open1430.14037arXiv1603.08424OpenAlexW2329803218MaRDI QIDQ1785080

Author name not available (Why is that?)

Publication date: 28 September 2018

Published in: (Search for Journal in Brave)

Abstract: We propose a geometric interpretation of Block and G"ottsche's refined tropical curve counting invariants in terms of virtual chiy-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 chiy to Euler characteristic.


Full work available at URL: https://arxiv.org/abs/1603.08424



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