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Rationality and derived categories of some Fano threefolds over non-closed fields Kuznetsov, Alexander
Description
In a joint work with Yu.Prokhorov we established rationality criteria for geometrically rational Fano threefolds over non-closed fields of characteristic zero such that their geometric Picard number is one. I will report on similar results for Fano threefolds whose geometric Picard number is higher but the Picard number over the base field is one. I will also describe the derived categories of these varieties over the base field and discuss the relation between their structure and rationality properties.
Item Metadata
| Title |
Rationality and derived categories of some Fano threefolds over non-closed fields
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2020-11-02T08:59
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| Description |
In a joint work with Yu.Prokhorov we established rationality criteria for geometrically rational Fano threefolds over non-closed fields of characteristic zero such that their geometric Picard number is one. I will report on similar results for Fano threefolds whose geometric Picard number is higher but the Picard number over the base field is one. I will also describe the derived categories of these varieties over the base field and discuss the relation between their structure and rationality properties.
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| Extent |
57.0 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: Steklov Mathematical Institute, NRU HSE
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| Series | |
| Date Available |
2021-05-02
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0397192
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Faculty
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International