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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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An observation on $(-1)$-curves on rational surfaces
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by Olivia Dumitrescu and Brian Osserman PDF
Proc. Amer. Math. Soc. 147 (2019), 1391-1398 Request permission

Abstract:

We give an effective iterative characterization of the classes of (smooth, rational) $(-1)$-curves on the blowup of the projective plane at general points. Such classes are characterized as having self-intersection $-1$, arithmetic genus $0$, and intersecting every $(-1)$-curve of smaller degree nonnegatively.
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Additional Information
  • Olivia Dumitrescu
  • Affiliation: Department of Mathematics, Central Michigan University, Mount Pleasant, Michigan 48859
  • MR Author ID: 889839
  • Brian Osserman
  • Affiliation: Department of Mathematics, University of California, Davis, Davis, California 95616
  • MR Author ID: 722512
  • Received by editor(s): March 7, 2018
  • Received by editor(s) in revised form: June 29, 2018
  • Published electronically: December 19, 2018
  • Additional Notes: The second author was partially supported by a grant from the Simons Foundation #279151.
  • Communicated by: Rachel Pries
  • © Copyright 2018 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 147 (2019), 1391-1398
  • MSC (2010): Primary 14J26
  • DOI: https://doi.org/10.1090/proc/14330
  • MathSciNet review: 3910406