On Gorenstein Fano Threefolds with an Action of a Two-Dimensional Torus
We classify the non-toric, ℚ-factorial, Gorenstein, log terminal Fano threefolds of Picard number one that admit an effective action of a two-dimensional algebraic torus.
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2022 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2022
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211816 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On Gorenstein Fano Threefolds with an Action of a Two-Dimensional Torus. Andreas Bäuerle and Jürgen Hausen. SIGMA 18 (2022), 088, 42 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862644701032611840 |
|---|---|
| author | Bäuerle, Andreas Hausen, Jürgen |
| author_facet | Bäuerle, Andreas Hausen, Jürgen |
| citation_txt | On Gorenstein Fano Threefolds with an Action of a Two-Dimensional Torus. Andreas Bäuerle and Jürgen Hausen. SIGMA 18 (2022), 088, 42 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We classify the non-toric, ℚ-factorial, Gorenstein, log terminal Fano threefolds of Picard number one that admit an effective action of a two-dimensional algebraic torus.
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| first_indexed | 2026-03-15T09:55:38Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211816 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-15T09:55:38Z |
| publishDate | 2022 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Bäuerle, Andreas Hausen, Jürgen 2026-01-12T10:17:28Z 2022 On Gorenstein Fano Threefolds with an Action of a Two-Dimensional Torus. Andreas Bäuerle and Jürgen Hausen. SIGMA 18 (2022), 088, 42 pages 1815-0659 2020 Mathematics Subject Classification: 14J45; 14J35; 14L30 arXiv:2108.03029 https://nasplib.isofts.kiev.ua/handle/123456789/211816 https://doi.org/10.3842/SIGMA.2022.088 We classify the non-toric, ℚ-factorial, Gorenstein, log terminal Fano threefolds of Picard number one that admit an effective action of a two-dimensional algebraic torus. We would like to thank Gavin Brown and Al Kasprzyk for interesting and helpful discussions. Moreover, we are grateful to the referees for many very helpful remarks and suggestions. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On Gorenstein Fano Threefolds with an Action of a Two-Dimensional Torus Article published earlier |
| spellingShingle | On Gorenstein Fano Threefolds with an Action of a Two-Dimensional Torus Bäuerle, Andreas Hausen, Jürgen |
| title | On Gorenstein Fano Threefolds with an Action of a Two-Dimensional Torus |
| title_full | On Gorenstein Fano Threefolds with an Action of a Two-Dimensional Torus |
| title_fullStr | On Gorenstein Fano Threefolds with an Action of a Two-Dimensional Torus |
| title_full_unstemmed | On Gorenstein Fano Threefolds with an Action of a Two-Dimensional Torus |
| title_short | On Gorenstein Fano Threefolds with an Action of a Two-Dimensional Torus |
| title_sort | on gorenstein fano threefolds with an action of a two-dimensional torus |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211816 |
| work_keys_str_mv | AT bauerleandreas ongorensteinfanothreefoldswithanactionofatwodimensionaltorus AT hausenjurgen ongorensteinfanothreefoldswithanactionofatwodimensionaltorus |