Academic Journal
Derived invariants from topological Hochschild homology.
| Τίτλος: | Derived invariants from topological Hochschild homology. |
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| Συγγραφείς: | Antieau, Benjamin, Bragg, Daniel |
| Πηγή: | Algebraic Geometry; May2022, Vol. 9 Issue 3, p364-399, 36p |
| Θεματικοί όροι: | Homology theory, Direction field (Mathematics), Cohomology theory, Hodge theory, Spectral sequences (Mathematics) |
| Περίληψη: | We consider derived invariants of varieties in positive characteristic arising from topological Hochschild homology. Using theory developed by Ekedahl and Illusie{Raynaud in their study of the slope spectral sequence, we examine the behavior under derived equivalences of various p-adic quantities related to Hodge - Witt and crystalline cohomology groups, including slope numbers, domino numbers, and Hodge - Witt numbers. As a consequence, we obtain restrictions on the Hodge numbers of derived equivalent varieties, partially extending results of Popa{Schnell to positive characteristic. [ABSTRACT FROM AUTHOR] |
| Copyright of Algebraic Geometry is the property of European Mathematical Society - EMS - Publishing House GmbH and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Βάση Δεδομένων: | Complementary Index |
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| Items | – Name: Title Label: Title Group: Ti Data: Derived invariants from topological Hochschild homology. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Antieau%2C+Benjamin%22">Antieau, Benjamin</searchLink><br /><searchLink fieldCode="AR" term="%22Bragg%2C+Daniel%22">Bragg, Daniel</searchLink> – Name: TitleSource Label: Source Group: Src Data: Algebraic Geometry; May2022, Vol. 9 Issue 3, p364-399, 36p – Name: Subject Label: Subject Terms Group: Su Data: <searchLink fieldCode="DE" term="%22Homology+theory%22">Homology theory</searchLink><br /><searchLink fieldCode="DE" term="%22Direction+field+%28Mathematics%29%22">Direction field (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Cohomology+theory%22">Cohomology theory</searchLink><br /><searchLink fieldCode="DE" term="%22Hodge+theory%22">Hodge theory</searchLink><br /><searchLink fieldCode="DE" term="%22Spectral+sequences+%28Mathematics%29%22">Spectral sequences (Mathematics)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We consider derived invariants of varieties in positive characteristic arising from topological Hochschild homology. Using theory developed by Ekedahl and Illusie{Raynaud in their study of the slope spectral sequence, we examine the behavior under derived equivalences of various p-adic quantities related to Hodge - Witt and crystalline cohomology groups, including slope numbers, domino numbers, and Hodge - Witt numbers. As a consequence, we obtain restrictions on the Hodge numbers of derived equivalent varieties, partially extending results of Popa{Schnell to positive characteristic. [ABSTRACT FROM AUTHOR] – Name: Abstract Label: Group: Ab Data: <i>Copyright of Algebraic Geometry is the property of European Mathematical Society - EMS - Publishing House GmbH and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.14231/AG-2022-011 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 36 StartPage: 364 Subjects: – SubjectFull: Homology theory Type: general – SubjectFull: Direction field (Mathematics) Type: general – SubjectFull: Cohomology theory Type: general – SubjectFull: Hodge theory Type: general – SubjectFull: Spectral sequences (Mathematics) Type: general Titles: – TitleFull: Derived invariants from topological Hochschild homology. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Antieau, Benjamin – PersonEntity: Name: NameFull: Bragg, Daniel IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 05 Text: May2022 Type: published Y: 2022 Identifiers: – Type: issn-print Value: 23131691 Numbering: – Type: volume Value: 9 – Type: issue Value: 3 Titles: – TitleFull: Algebraic Geometry Type: main |
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