Independence of boundary divisors in the space of admissible covers
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- by Anand Patel PDF
- Proc. Amer. Math. Soc. 148 (2020), 1383-1388 Request permission
Abstract:
The boundary components of $\overline {\mathcal {M}}_{g}$ have linearly independent divisor classes, as is easily seen by a simple test curve argument. We prove the analogous independence result for the boundary components of the (normalization of the) space of admissible covers.References
- Dan Abramovich, Alessio Corti, and Angelo Vistoli, Twisted bundles and admissible covers, Comm. Algebra 31 (2003), no. 8, 3547–3618. Special issue in honor of Steven L. Kleiman. MR 2007376, DOI 10.1081/AGB-120022434
- Anand Deopurkar and Anand Patel, The Picard rank conjecture for the Hurwitz spaces of degree up to five, Algebra Number Theory 9 (2015), no. 2, 459–492. MR 3320849, DOI 10.2140/ant.2015.9.459
- Joe Harris and David Mumford, On the Kodaira dimension of the moduli space of curves, Invent. Math. 67 (1982), no. 1, 23–88. With an appendix by William Fulton. MR 664324, DOI 10.1007/BF01393371
- Shinichi Mochizuki, The geometry of the compactification of the Hurwitz scheme, Publ. Res. Inst. Math. Sci. 31 (1995), no. 3, 355–441. MR 1355945, DOI 10.2977/prims/1195164048
Additional Information
- Anand Patel
- Affiliation: Department of Mathematics, Oklahoma State University, Stillwater, , Oklahoma 74078-1068
- MR Author ID: 1066848
- Received by editor(s): February 8, 2019
- Received by editor(s) in revised form: August 1, 2019, and August 4, 2019
- Published electronically: October 28, 2019
- Communicated by: Rachel Pries
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 148 (2020), 1383-1388
- MSC (2010): Primary 14H10, 14H30, 14D23
- DOI: https://doi.org/10.1090/proc/14816
- MathSciNet review: 4069178