article Alana Huszar author Steffen Marcus author Martin Ulirsch author 114697 The classical clutching and gluing maps between the moduli stacks of stable marked algebraic curves are not logarithmic, i.e. they do not induce morphisms over the category of logarithmic schemes, since they factor through the boundary. Using insight from tropical geometry, we enrich the category of logarithmic schemes to include so-called sub-logarithmic morphisms and show that the clutching and gluing maps are naturally sub-logarithmic. Building on the recent framework developed by Cavalieri, Chan, Wise, and the third author, we further develop a stack-theoretic counterpart of these maps in the tropical world and show that the resulting maps naturally commute with the process of tropicalization. 2017 eng 1706.0755410.1016/j.jpaa.2018.08.014 Huszar, Alana, et al. “Clutching and Gluing in Tropical and Logarithmic Geometry.” <i>ArXiv:1706.07554</i>, 2017, doi:<a href="https://doi.org/10.1016/j.jpaa.2018.08.014">10.1016/j.jpaa.2018.08.014</a>. Huszar A, Marcus S, Ulirsch M. Clutching and gluing in tropical and logarithmic geometry. <i>arXiv:170607554</i>. Published online 2017. doi:<a href="https://doi.org/10.1016/j.jpaa.2018.08.014">10.1016/j.jpaa.2018.08.014</a> @article{Huszar_Marcus_Ulirsch_2017, title={Clutching and gluing in tropical and logarithmic geometry}, DOI={<a href="https://doi.org/10.1016/j.jpaa.2018.08.014">10.1016/j.jpaa.2018.08.014</a>}, journal={arXiv:1706.07554}, author={Huszar, Alana and Marcus, Steffen and Ulirsch, Martin}, year={2017} } Huszar, A., Marcus, S., &#38; Ulirsch, M. (2017). Clutching and gluing in tropical and logarithmic geometry. <i>ArXiv:1706.07554</i>. <a href="https://doi.org/10.1016/j.jpaa.2018.08.014">https://doi.org/10.1016/j.jpaa.2018.08.014</a> A. Huszar, S. Marcus, and M. Ulirsch, “Clutching and gluing in tropical and logarithmic geometry,” <i>arXiv:1706.07554</i>, 2017, doi: <a href="https://doi.org/10.1016/j.jpaa.2018.08.014">10.1016/j.jpaa.2018.08.014</a>. A. Huszar, S. Marcus, M. Ulirsch, ArXiv:1706.07554 (2017). Huszar, Alana, Steffen Marcus, and Martin Ulirsch. “Clutching and Gluing in Tropical and Logarithmic Geometry.” <i>ArXiv:1706.07554</i>, 2017. <a href="https://doi.org/10.1016/j.jpaa.2018.08.014">https://doi.org/10.1016/j.jpaa.2018.08.014</a>. 663342026-07-08T07:06:48Z2026-07-09T06:17:39Z