Rational curves in the logarithmic multiplicative group
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- by Dhruv Ranganathan and Jonathan Wise PDF
- Proc. Amer. Math. Soc. 148 (2020), 103-110 Request permission
Abstract:
The logarithmic multiplicative group is a proper group object in logarithmic schemes, which morally compactifies the usual multiplicative group. We study the structure of the stacks of logarithmic maps from rational curves to this logarithmic torus, and show that in most cases, it is a product of the logarithmic torus with the space of rational curves. This gives a conceptual explanation for earlier results on the moduli spaces of logarithmic stable maps to toric varieties.References
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Additional Information
- Dhruv Ranganathan
- Affiliation: Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge, United Kingdom CB3 0WA
- MR Author ID: 1019600
- Email: dr508@cam.ac.uk
- Jonathan Wise
- Affiliation: Department of Mathematics, University of Colorado, Boulder, Colorado 80309
- MR Author ID: 944332
- Email: jonathan.wise@colorado.edu
- Received by editor(s): January 29, 2019
- Received by editor(s) in revised form: April 24, 2019
- Published electronically: September 20, 2019
- Communicated by: Rachel Pries
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 148 (2020), 103-110
- MSC (2010): Primary 14H10, 14T05
- DOI: https://doi.org/10.1090/proc/14749
- MathSciNet review: 4042834