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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.

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Calculation of Manin’s invariant for Del Pezzo surfaces
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by Tohsuke Urabe PDF
Math. Comp. 65 (1996), 247-258 Request permission

Abstract:

For $r=7$ and 8 we consider an action of the Weyl group of type $E_{ r}$ on a unimodular lattice of rank $r+1$. We give the tables of the first cohomology groups for all cyclic subgroups of the Weyl group with respect to this action. These are important in the arithmetic theory of Del Pezzo surfaces.
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Additional Information
  • Tohsuke Urabe
  • Affiliation: address Department of Mathematics, Tokyo Metropolitan University, Minami-Ohsawa 1-1, Hachioji-shi, Tokyo, 192-03 Japan
  • Email: urabe@math.metro-u.ac.jp
  • Received by editor(s): November 23, 1993
  • Received by editor(s) in revised form: February 22, 1995
  • © Copyright 1996 American Mathematical Society
  • Journal: Math. Comp. 65 (1996), 247-258
  • MSC (1991): Primary 20J06; Secondary 13A20
  • DOI: https://doi.org/10.1090/S0025-5718-96-00681-3
  • MathSciNet review: 1322894