Distinguishing embedded curves in rational complex surfaces
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- by Terry Fuller PDF
- Proc. Amer. Math. Soc. 126 (1998), 305-310 Request permission
Abstract:
We construct many pairs of smoothly embedded complex curves with the same genus and self-intersection number in the rational complex surfaces $\mathbb {C} P^{2}\# n\overline {\mathbb {C} P}^{2}$ with the property that no self-diffeomorphism of $\mathbb {C} P^{2} \# n \overline {\mathbb {C} P}^{2}$ sends one to the other. In particular, as a special case we answer a question originally posed by R. Gompf (1995) concerning genus two curves of self-intersection number 0 in $\mathbb {C} P^{2} \# 13\overline {\mathbb {C} P}^{2}$.References
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Additional Information
- Terry Fuller
- Affiliation: Department of Mathematics, University of Texas at Austin, Austin, Texas 78712
- Address at time of publication: Department of Mathematics, University of California, Irvine, California 92717
- Email: tfuller@math.uci.edu
- Received by editor(s): April 22, 1996
- Received by editor(s) in revised form: July 9, 1996
- Communicated by: Ronald A. Fintushel
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 305-310
- MSC (1991): Primary 57R40; Secondary 14J26
- DOI: https://doi.org/10.1090/S0002-9939-98-04001-5
- MathSciNet review: 1416086