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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

Online
ISSN
1435-5345
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Volume 2005, Issue 584

Issues

Geometry of chains of minimal rational curves

Jun-Muk Hwang / Stefan Kebekus
Published Online: 2005-11-07 | DOI: https://doi.org/10.1515/crll.2005.2005.584.173

Abstract

Chains of minimal degree rational curves have been used as an important tool in the study of Fano manifolds. Their own geometric properties, however, have not been studied much. The goal of the paper is to introduce an infinitesimal method to study chains of minimal rational curves via varieties of minimal rational tangents and their higher secants. For many examples of Fano manifolds this method can be used to compute the minimal length of chains needed to join two general points. One consequence of our computation is a bound on the multiplicities of divisors at a general point of the moduli of stable bundles of rank two on a curve.

About the article

Received: 24. März 2004

Revised: 7. Juli 2004

Published Online: 2005-11-07

Published in Print: 2005-07-26


Citation Information: Journal für die reine und angewandte Mathematik, Volume 2005, Issue 584, Pages 173–194, ISSN (Online) 1435-5345, ISSN (Print) 0075-4102, DOI: https://doi.org/10.1515/crll.2005.2005.584.173.

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