On the Natanzon-Turaev compactification of the Hurwitz space
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- by Steven P. Diaz PDF
- Proc. Amer. Math. Soc. 130 (2002), 613-618 Request permission
Abstract:
Natanzon and Turaev have constructed by topological methods a compactification of the Hurwitz space, that is, the space of simple branched covers of the two-sphere. Here we show that this compactification is homeomorphic to a compactification mentioned by Diaz and Edidin (in 1996) that was constructed by algebraic methods. Using this we are able to show by example that the Natanzon-Turaev compactification can be singular, that is, not a manifold.References
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Additional Information
- Steven P. Diaz
- Affiliation: Department of Mathematics, Syracuse University, Syracuse, New York 13244
- Email: spdiaz@mailbox.syr.edu
- Received by editor(s): August 17, 1999
- Received by editor(s) in revised form: March 8, 2000
- Published electronically: October 23, 2001
- Communicated by: Michael Stillman
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 613-618
- MSC (2000): Primary 14H10; Secondary 57M12
- DOI: https://doi.org/10.1090/S0002-9939-01-06393-6
- MathSciNet review: 1866008