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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Concurrent lines on del Pezzo surfaces of degree one
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by Ronald van Luijk and Rosa Winter HTML | PDF
Math. Comp. 92 (2023), 451-481 Request permission


Let $X$ be a del Pezzo surface of degree one over an algebraically closed field, and $K_X$ its canonical divisor. The morphism $\varphi$ induced by $|-2K_X|$ realizes $X$ as a double cover of a cone in $\mathbb {P}^3$, ramified over a smooth sextic curve. The surface $X$ contains 240 exceptional curves. We prove the following statements. For a point $P$ on the ramification curve of $\varphi$, at most sixteen exceptional curves contain $P$ in characteristic $2$, and at most ten in all other characteristics. Moreover, for a point $Q$ outside the ramification curve, at most twelve exceptional curves contain $Q$ in characteristic $3$, and at most ten in all other characteristics. We show that these upper bounds are sharp, except possibly in characteristic 5 outside the ramification curve.
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Additional Information
  • Ronald van Luijk
  • Affiliation: Mathematisch Instituut, Niels Bohrweg 1, 2333 CA Leiden, Netherlands
  • MR Author ID: 698553
  • Email:
  • Rosa Winter
  • Affiliation: King’s College London, Strand, London WC2R 2LS, United Kingdom
  • MR Author ID: 1471783
  • ORCID: 0000-0002-5657-3073
  • Email:
  • Received by editor(s): April 18, 2020
  • Received by editor(s) in revised form: May 4, 2022, and July 10, 2022
  • Published electronically: September 12, 2022
  • © Copyright 2022 American Mathematical Society
  • Journal: Math. Comp. 92 (2023), 451-481
  • MSC (2020): Primary 14J26, 14J45, 14N10
  • DOI:
  • MathSciNet review: 4496971