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Correction to: d-elliptic Loci in Genus 2 and 3.

Authors :
Lian, Carl
Source :
IMRN: International Mathematics Research Notices. Jun2024, Vol. 2024 Issue 11, p9088-9090. 3p.
Publication Year :
2024

Abstract

We consider the loci of curves of genus 2 and 3 admitting a |$d$| -to-1 map to a genus 1 curve. After compactifying these loci via admissible covers, we obtain formulas for their Chow classes, recovering results of Faber–Pagani and van Zelm when |$d=2$|⁠. The answers exhibit quasimodularity properties similar to those in the Gromov–Witten theory of a fixed genus 1 curve; we conjecture that the quasimodularity persists in higher genus and indicate a number of possible variants. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10737928
Volume :
2024
Issue :
11
Database :
Academic Search Index
Journal :
IMRN: International Mathematics Research Notices
Publication Type :
Academic Journal
Accession number :
177947369
Full Text :
https://doi.org/10.1093/imrn/rnad166