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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) 2018: 1.55

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Volume 2015, Issue 700


General curves on algebraic surfaces

Edoardo Sernesi
Published Online: 2013-04-19 | DOI: https://doi.org/10.1515/crelle-2013-0019


We give upper bounds on the genus of a curve with general moduli assuming that it can be embedded in a projective nonsingular surface Y so that dim(|C|) > 0. We find such bounds for all types of surfaces of intermediate Kodaira dimension and, under mild restrictions, for surfaces of general type whose minimal model Z satisfies the Castelnuovo inequality KZ2 ≥ 3χ(𝒪Z) - 10. In this last case we obtain g ≤ 19. In the other cases considered the bounds are lower.

About the article

Received: 2012-08-29

Revised: 2013-02-08

Published Online: 2013-04-19

Published in Print: 2015-03-01

Funding Source: GNSAGA-INDAM

Funding Source: 2008 PRIN

Award identifier / Grant number: Geometria delle varietà algebriche e loro spazi di moduli

Citation Information: Journal für die reine und angewandte Mathematik (Crelles Journal), Volume 2015, Issue 700, Pages 209–233, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: https://doi.org/10.1515/crelle-2013-0019.

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