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Journal für die reine und angewandte Mathematik

Managing Editor: Weissauer, Rainer

Ed. by Colding, Tobias / Huybrechts, Daniel / Hwang, Jun-Muk / Williamson, Geordie

IMPACT FACTOR 2018: 1.859

CiteScore 2018: 1.14

SCImago Journal Rank (SJR) 2018: 2.554
Source Normalized Impact per Paper (SNIP) 2018: 1.411

Mathematical Citation Quotient (MCQ) 2017: 1.49

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Volume 2013, Issue 680


Inhomogeneous cubic congruences and rational points on del Pezzo surfaces

Stephan Baier / Tim D. Browning
Published Online: 2012-04-03 | DOI: https://doi.org/10.1515/crelle.2012.039


For given non-zero integers a, b, q we investigate the density of solutions (xy) ∈ ℤ2 to the binary cubic congruence ax2 + by3 ≡ 0 mod q, and use it to establish the Manin conjecture for a singular del Pezzo surface of degree 2 defined over ℚ.

About the article

Received: 2011-05-07

Revised: 2011-09-20

Published Online: 2012-04-03

Published in Print: 2013-06-01

Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal), Volume 2013, Issue 680, Pages 69–151, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: https://doi.org/10.1515/crelle.2012.039.

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