Counting geometric branches via the Frobenius map and \(F\)-nilpotent singularities
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Publication:6619985
DOI10.1017/nmj.2024.4MaRDI QIDQ6619985
Kyle Maddox, Hailong Dao, Vaibhav Pandey
Publication date: 16 October 2024
Published in: Nagoya Mathematical Journal (Search for Journal in Brave)
Local cohomology and commutative rings (13D45) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Étale and flat extensions; Henselization; Artin approximation (13B40)
Cites Work
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- Nilpotence of Frobenius action and the Hodge filtration on local cohomology
- \(F\)-injectivity and Frobenius closure of ideals in Noetherian rings of characteristic \(p>0\)
- F-coherent rings with applications to tight closure theory
- Local cohomology multiplicities in terms of étale cohomology
- Tight closure test exponents for certain parameter ideals
- Local cohomological dimension in characteristic p
- Tight closure in graded rings
- The intersection homology \(D\)-module in finite characteristic
- On the uniform bound of Frobenius test exponents
- Homological properties of pinched Veronese rings
- Nilpotence of Frobenius actions on local cohomology and Frobenius closure of ideals
- Uniform behaviour of the Frobenius closures of ideals generated by regular sequences
- F-rational rings have rational singularities
- Seminormal rings and weakly normal varieties
- Tight Closure, Invariant Theory, and the Briancon-Skoda Theorem
- A connectedness result in positive characteristic
- F-injective singularities are Du Bois
- F-Purity and Rational Singularity
- A sufficient condition for the finiteness of Frobenius test exponents
- Bounds for test exponents
- Lie Groups and Lie Hyperalgebras Over a Field of Characteristic p > 0 (II)
- \(F\)-nilpotent rings and permanence properties
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