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arXiv · 1408.0869

Boundedness of the space of stable logarithmic maps

Dan Abramovich·Qile Chen·Steffen Marcus·Jonathan Wise
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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.

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Dan Abramovich, Qile Chen, Steffen Marcus, Jonathan Wise. 2021-01-22. Boundedness of the space of stable logarithmic maps. https://doi.org/10.4171/jems%2F728

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