Advanced search
Publication Cover
Communications in Algebra Volume 49, 2021 - Issue 11
Submit an article Journal homepage
313
Views
2
CrossRef citations to date
0
Altmetric
Research Article

Contractions of subcurves of families of log curves

Sebastian BozleeDepartment of Mathematics, Tufts University, Medford, Massachusetts, USACorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-2812-051X
ORCID Icon
Pages 4616-4660 | Received 30 Oct 2019, Accepted 06 Apr 2021, Published online: 05 Jun 2021

References

  • Atiyah, M. F., MacDonald, I. G. (1969). Introduction to Commutative Algebra. Boulder, Colorado: Westview Press.
  • Battistella, L. (2019). Modular compactifications of M2,n with Gorenstein singularities. arXiv e-Prints. arXiv:1906.06367.
  • Battistella, L., Carocci, F. (2020). A smooth compactification of the space of genus two curves in projective space via logarithmic geometry and Gorenstein curves. Geom. Topol. 27:1203–1272.
  • Borne, N., Vistoli, A. (2012). Parabolic sheaves on logarithmic schemes. Adv. Math. 231(3-4):1327–1363. DOI: 10.1016/j.aim.2012.06.015.
  • Cavalieri, R., Chan, M., Ulirsch, M., Wise, J. (2020). A moduli stack of tropical curves. Forum Math. 8:e23. DOI: 10.1017/fms.2020.16.
  • Hartshorne, R. (1977). Algebraic Geometry. New York, NY: Springer.
  • Hassett, B. (2003). Moduli spaces of weighted pointed stable curves. Adv. Math. 173(2):316–352. DOI: 10.1016/S0001-8708(02)00058-0.
  • Hassett, B., Hyeon, D. (2009). Log canonical models for the moduli space of curves: first divisorial contraction. Trans. Amer. Math. Soc. 361(08):4471–4489. DOI: 10.1090/S0002-9947-09-04819-3.
  • Kato, K. (1989). Logarithmic structures of Fontaine-Illusie. Algebraic Analysis, Geometry, and Number Theory. Baltimore, MD: Johns Hopkins University Press, pp. 191–224.
  • Kato, F. (2000). Log smooth deformation and moduli of log smooth curves. Int. J. Math. 11(02):215–232. DOI: 10.1142/S0129167X0000012X.
  • Keli, P. (2017). Semistable modular compactifications of moduli spaces of genus one curves. PhD thesis. University of Colorado, Boulder, CO.
  • Ogus, A. (2018). Lectures on Logarithmic Algebraic Geometry. Cambridge, UK: Cambridge University Press.
  • Ranganathan, D., Santos-Parker, K., Wise, J. (2019). Moduli of stable maps in genus one and logarithmic geometry I. Geom. Topol. 23:3315–3366. DOI: 10.2140/gt.2019.23.3315.
  • Smyth, D. (2011). Modular compactifications of the space of pointed elliptic curves I. Compos. Math. 147(3):877–913. DOI: 10.1112/S0010437X10005014.
  • Smyth, D. (2011). Modular compactifications of the space of pointed elliptic curves II. Compos. Math. (6)147:1843–1884. DOI: 10.1112/S0010437X11005549.
  • Smyth, D. (2013). Towards a classification of modular compactifications of Mg,n. Invent. Math. 192(2):459–503.
  • The Stacks Project Authors. (2019). Stacks project. https://stacks.math.columbia.edu.
  • Vakil, R., Zinger, A. (2008). A desingularization of the main component of the moduli space of genus-one stable maps into Pn. Geom. Topol. 12:1–95.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.