Duke Mathematical Journal

On Shokurov's rational connectedness conjecture

Christopher D. Hacon and James Mckernan

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Abstract

We prove the rational connectedness conjecture of V. V. Shokurov in [20] which, in particular, implies that the fibres of a resolution of a variety with divisorial log terminal singularities are rationally chain connected

Article information

Source
Duke Math. J., Volume 138, Number 1 (2007), 119-136.

Dates
First available in Project Euclid: 9 May 2007

Permanent link to this document
https://projecteuclid.org/euclid.dmj/1178738561

Digital Object Identifier
doi:10.1215/S0012-7094-07-13813-4

Mathematical Reviews number (MathSciNet)
MR2309156

Zentralblatt MATH identifier
1128.14028

Subjects
Primary: 14J45: Fano varieties
Secondary: 14E30: Minimal model program (Mori theory, extremal rays) 14E05: Rational and birational maps 14J17: Singularities [See also 14B05, 14E15]

Citation

Hacon, Christopher D.; Mckernan, James. On Shokurov's rational connectedness conjecture. Duke Math. J. 138 (2007), no. 1, 119--136. doi:10.1215/S0012-7094-07-13813-4. https://projecteuclid.org/euclid.dmj/1178738561


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