Academic Journal
On the uniform positivity of 퐹-signature under reduction modulo 푝.
| Title: | On the uniform positivity of 퐹-signature under reduction modulo 푝. |
|---|---|
| Authors: | Takagi, Shunsuke1 (AUTHOR) stakagi@ms.u-tokyo.ac.jp, Yamaguchi, Tatsuki2 (AUTHOR) yamaguchi.t.bp@m.titech.ac.jp |
| Source: | Journal für die Reine und Angewandte Mathematik. Sep2026, p1. 40p. |
| Subject Terms: | *Gorenstein rings, *Mathematical singularities, *Local rings (Algebra) |
| Abstract: | Carvajal-Rojas, Schwede and Tucker asked whether the mod 푝 reductions of a complex klt type singularity have uniformly positive 퐹-signature for all but finitely many primes 푝. In this paper, we give an affirmative answer to this conjecture for pure subrings of regular local rings, including reductive quotient singularities. We also show that the conjecture can be reduced to the Gorenstein case. Finally, we discuss the connection with 퐹-alpha invariants for log Fano pairs, introduced by Pande as characteristic 푝 analogs of Tian’s alpha invariants. [ABSTRACT FROM AUTHOR] |
| Database: | Academic Search Index |
| FullText | Text: Availability: 0 |
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| Header | DbId: asx DbLabel: Academic Search Index An: 197220272 RelevancyScore: 1452 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 1452.42810058594 |
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| Items | – Name: Title Label: Title Group: Ti Data: On the uniform positivity of 퐹-signature under reduction modulo 푝. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Takagi%2C+Shunsuke%22">Takagi, Shunsuke</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> stakagi@ms.u-tokyo.ac.jp</i><br /><searchLink fieldCode="AR" term="%22Yamaguchi%2C+Tatsuki%22">Yamaguchi, Tatsuki</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> yamaguchi.t.bp@m.titech.ac.jp</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+für+die+Reine+und+Angewandte+Mathematik%22">Journal für die Reine und Angewandte Mathematik</searchLink>. Sep2026, p1. 40p. – Name: Subject Label: Subject Terms Group: Su Data: *<searchLink fieldCode="DE" term="%22Gorenstein+rings%22">Gorenstein rings</searchLink><br />*<searchLink fieldCode="DE" term="%22Mathematical+singularities%22">Mathematical singularities</searchLink><br />*<searchLink fieldCode="DE" term="%22Local+rings+%28Algebra%29%22">Local rings (Algebra)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Carvajal-Rojas, Schwede and Tucker asked whether the mod 푝 reductions of a complex klt type singularity have uniformly positive 퐹-signature for all but finitely many primes 푝. In this paper, we give an affirmative answer to this conjecture for pure subrings of regular local rings, including reductive quotient singularities. We also show that the conjecture can be reduced to the Gorenstein case. Finally, we discuss the connection with 퐹-alpha invariants for log Fano pairs, introduced by Pande as characteristic 푝 analogs of Tian’s alpha invariants. [ABSTRACT FROM AUTHOR] |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=asx&AN=197220272 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1515/crelle-2026-0076 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 40 StartPage: 1 Subjects: – SubjectFull: Gorenstein rings Type: general – SubjectFull: Mathematical singularities Type: general – SubjectFull: Local rings (Algebra) Type: general Titles: – TitleFull: On the uniform positivity of 퐹-signature under reduction modulo 푝. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Takagi, Shunsuke – PersonEntity: Name: NameFull: Yamaguchi, Tatsuki IsPartOfRelationships: – BibEntity: Dates: – D: 23 M: 09 Text: Sep2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 00754102 Titles: – TitleFull: Journal für die Reine und Angewandte Mathematik Type: main |
| ResultId | 1 |