Jump to ContentJump to Main Navigation
Show Summary Details
More options …

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

Online
ISSN
1435-5345
See all formats and pricing
More options …
Volume 2015, Issue 700

Issues

General curves on algebraic surfaces

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

Abstract

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.

Export Citation

© 2015 by De Gruyter.Get Permission

Citing Articles

Here you can find all Crossref-listed publications in which this article is cited. If you would like to receive automatic email messages as soon as this article is cited in other publications, simply activate the “Citation Alert” on the top of this page.

[1]
L. Benzo
Journal of Pure and Applied Algebra, 2014, Volume 218, Number 3, Page 395

Comments (0)

Please log in or register to comment.
Log in