Boundedness of the space of stable logarithmic maps
Date
2017Author
Abramovich, Dan
Chen, Qile
Marcus, Steffen
Wise, Jonathan
Metadata
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Abstract
We prove that the moduli space of stable logarithmic maps with fixed numerical invariants, from logarithmic curves to a fixed projective target logarithmic scheme with fine and saturated logarithmic structure, is a proper algebraic stack. This was previously known only with further restrictions on the logarithmic structure of the target.
Citation:
Abramovich, D., Chen, Q., Marcus, S., & Wise, J. (2017). Boundedness of the space of stable logarithmic maps. Journal of the European Mathematical Society, 19(9), 2783-2809. https://doi.org/10.4171/JEMS/728
Description
Department of Mathematics and Statistics
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URI
https://doi.org/10.4171/JEMS/728https://doi.org/10.48550/arXiv.1408.0869
http://dr.tcnj.edu/handle/2900/4218