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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/21725

Title: Mori dream spaces and birational rigidity of Fano 3-folds
Authors: Ahmadinezhad, Hamid
Zucconi, Francesco
Keywords: Fano varieties
Sarkisov program
Variation of geometric invariant theory
Mori dream spaces
Birational rigidity
Issue Date: 2016
Publisher: © Elsevier
Citation: AHMADINEZHAD, H. and ZUCCONI, F., 2016. Mori dream spaces and birational rigidity of Fano 3-folds. Advances in Mathematics, 292, pp. 410-445.
Abstract: © 2016 Elsevier Inc.We highlight a relation between the existence of Sarkisov links and the finite generation of (certain) Cox rings. We introduce explicit methods to use this relation in order to prove birational rigidity statements. To illustrate, we complete the birational rigidity results of Okada for Fano complete intersection 3-folds in singular weighted projective spaces.
Description: This paper is in closed access until 10th Feb 2017.
Version: Accepted for publication
DOI: 10.1016/j.aim.2016.01.008
URI: https://dspace.lboro.ac.uk/2134/21725
Publisher Link: http://dx.doi.org/10.1016/j.aim.2016.01.008
ISSN: 0001-8708
Appears in Collections:Closed Access (Maths)

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