Email this article Rationality of Fano Threefolds with Terminal Gorenstein Singularities. I
- Authors: Prokhorov Y.G.1,2,3
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Affiliations:
- Steklov Mathematical Institute of Russian Academy of Sciences
- Faculty of Mechanics and Mathematics
- Laboratory of Algebraic Geometry and its Applications
- Issue: Vol 307, No 1 (2019)
- Pages: 210-231
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175949
- DOI: https://doi.org/10.1134/S0081543819060130
- ID: 175949
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Abstract
We classify some special classes of nonrational Fano threefolds with terminal singularities. In particular, all such hyperelliptic and trigonal varieties are found.
About the authors
Yuri G. Prokhorov
Steklov Mathematical Institute of Russian Academy of Sciences; Faculty of Mechanics and Mathematics; Laboratory of Algebraic Geometry and its Applications
Author for correspondence.
Email: prokhoro@mi-ras.ru
Russian Federation, ul. Gubkina 8, Moscow, 119991; Moscow, 119991; ul. Usacheva 6, Moscow, 119048
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