Geodesic
Boundedness of the space of stable logarithmic maps
Journal of the European Mathematical Society, Tome 19 (2017) no. 9, pp. 2783-2809

Voir la notice de l'article provenant de la source EMS Press

We prove that the moduli space of stable logarithmic maps from logarithmic curves to a fixed target logarithmic scheme is a proper algebraic stack when the target scheme is projective with fine and saturated logarithmic structure. This was previously known only with further restrictions on the logarithmic structure of the target.
DOI : 10.4171/jems/728
Classification : 14-XX
Keywords: Stable maps, logarithmic structures, moduli spaces, algebraic stacks 
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     title = {Boundedness of the space of stable logarithmic maps},
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Dan Abramovich; Qile Chen; Steffen Marcus; Jonathan Wise. Boundedness of the space of stable logarithmic maps. Journal of the European Mathematical Society, Tome 19 (2017) no. 9, pp. 2783-2809. doi: 10.4171/jems/728

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