|
This article is cited in 32 scientific papers (total in 32 papers)
Hyperelliptic and trigonal Fano threefolds
V. V. Przyjalkowski, I. A. Cheltsov, K. A. Shramov Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
We classify Fano 3-folds with canonical Gorenstein singularities
whose anticanonical linear system has no base points but does not give
an embedding, and we classify anticanonically embedded Fano 3-folds with
canonical Gorenstein singularities which are not intersections of
quadrics. We also study rationality questions for most of these
varieties.
Received: 01.07.2004
Citation:
V. V. Przyjalkowski, I. A. Cheltsov, K. A. Shramov, “Hyperelliptic and trigonal Fano threefolds”, Izv. Math., 69:2 (2005), 365–421
Linking options:
https://www.mathnet.ru/eng/im637https://doi.org/10.1070/IM2005v069n02ABEH000533 https://www.mathnet.ru/eng/im/v69/i2/p145
|
Statistics & downloads: |
Abstract page: | 1024 | Russian version PDF: | 320 | English version PDF: | 39 | References: | 100 | First page: | 2 |
|