1. Generalized Hilbert-Kunz Multiplicity for Families of Ideals
   2025/10/29 by Landsittel, Stephen, Das, Sudipta · 1 citation
   #13A35 #13H15 #Commutative Algebra (math.AC) #FOS: Mathematics
2. L-smooth factorization for Noetherian F-finite rings
   2025/01/16 by Blickle, Manuel, Fink, Daniel · 2 citations
   #13A35 #13B10 #13B35 #13D03 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics
3. Perfectoid pure singularities
   2024/09/26 by Bhargav Bhatt, Bhatt, Bhargav, Linquan Ma +11 · 4 citations
   Mathematics · #11G25 #13A35 #14B05 #14F18 #14G45 #Advanced Differential Equations and Dynamical Systems #Advanced Topology and Set Theory #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Number Theory (math.NT) #Rings, Modules, and Algebras
4. Invariant for Sets of Pfister Forms
   2024/03/29 by Chapman, Adam, Levin, Ilan · 1 citation
   #11E81 #13A35 #16K20 20G10 #FOS: Mathematics #K-Theory and Homology (math.KT) #Number Theory (math.NT) #Primary 19D45 #Secondary 11E04
5. On Frobenius liftability of surface singularities
   2024/02/13 by Kawakami, Tatsuro, Takamatsu, Teppei · 1 citation
   #13A35 #14B05 #14F10 #Algebraic Geometry (math.AG) #FOS: Mathematics
6. Bounds for the Hilbert-Kunz Multiplicity of Singular Rings
   2024/02/08 by Aberbach, Ian M., Cox-Steib, Nicholas O · 2 citations
   #13A35 #13D40 (Primary) 13B02 #14B05 (Secondary) #Commutative Algebra (math.AC) #FOS: Mathematics
7. Test ideals in mixed characteristic: a unified theory up to perturbation
   2024/01/01 by Bhatt, Bhargav, Ma, Linquan, Patakfalvi, Zsolt +5 · 3 citations
   #13A35 #14F18 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics
8. The non-F-rational locus of Rees algebras
   2023/11/13 by Kotal, Nirmal, Kummini, Manoj · 2 citations
   #13A30 #13A35 #Commutative Algebra (math.AC) #FOS: Mathematics
9. Two theorems on the vanishing of Ext
   2023/08/17 by Celikbas, Olgur, Dey, Souvik, Kobayashi, Toshinori +2 · 1 citation
   #13A35 #13C12 #13D05 #13D07 #13H10 #Commutative Algebra (math.AC) #FOS: Mathematics
10. Duality between Cartier crystals and perverse \mathbbF_p-sheaves, and application to generic vanishing
    2023/06/08 by Baudin, Jefferson · 2 citations
    #13A35 #14G17 #14K99 #Algebraic Geometry (math.AG) #FOS: Mathematics
11. High Frobenius pushforwards generate the bounded derived category
    2023/03/31 by Ballard, Matthew R., Iyengar, Srikanth B., Lank, Pat +2 · 1 citation
    #13A35 #13D09 #14A30 (primary) #14G17 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics
12. Quasi-F-splittings in birational geometry II
    2023/02/26 by Kawakami, Tatsuro, Takamatsu, Teppei, Tanaka, Hiromu +3 · 2 citations
    #13A35 #14E30 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics
13. Perfectoid signature, perfectoid Hilbert-Kunz multiplicity, and an application to local fundamental groups
    2022/09/08 by Cai, Hanlin, Lee, Seungsu, Ma, Linquan +2 · 3 citations
    #11G99 #13A35 #13C20 #13D22 #14B05 #14C20 #14D10 #14F18 #14F35 #14G45 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Number Theory (math.NT)
14. Quasi-F-splittings in birational geometry
    2022/08/17 by Kawakami, Tatsuro, Takamatsu, Teppei, Tanaka, Hiromu +3 · 2 citations
    #13A35 #14E30 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics
15. Values of the F-pure threshold for homogeneous polynomials
    2022/07/24 by Smith, Karen E., Vraciu, Adela · 1 citation
    #13A35 #14B05 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics
16. Fedder type criteria for quasi-F-splitting I
    2022/04/21 by Tatsuro Kawakami, Teppei Takamatsu, Kawakami, Tatsuro +3 · 2 citations
    Mathematics · #13A35 #13F35 #14B05 #14J32 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #FOS: Mathematics #Geometric and Algebraic Topology #Number Theory (math.NT)
17. Uniform bounds on symbolic powers in regular rings
    2021/11/11 by Murayama, Takumi · 1 citation
    #13A15 #13A35 #13C14 #13H05 (Primary) 14G45 #14F18 (Secondary) #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics
18. The Hilbert-Kunz density functions of quadric hypersurfaces
    2021/09/24 by Vijaylaxmi Trivedi, Trivedi, Vijaylaxmi · 2 citations
    Computer Science · Mathematics · #13A35 #13D40 #14A10 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation
19. Gröbner deformation and F-singularities
    2021/07/26 by Mitra Koley, Koley, Mitra, Matteo Varbaro +1 · 1 citation
    Computer Science · Mathematics · #13A35 #13P10 #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation
20. Global generation of test ideals in mixed characteristic and applications
    2021/06/27 by Hacon, Christopher, Lamarche, Alicia, Schwede, Karl · 3 citations
    #13A35 #14B05 #14C20 #14F17 #14F18 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics
21. PD Operads and Explicit Partition Lie Algebras
    2021/04/08 by Lukas Brantner, Brantner, Lukas, Ricardo Campos +3 · 4 citations
    Biochemistry, Genetics and Molecular Biology · Mathematics · #13A35 #14D15 #14D23 #17B55 #18M70 #18N70 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Sphingolipid Metabolism and Signaling
22. Arithmetic and geometric deformations of F-pure and F-regular singularities
    2021/03/05 by Kenta Sato, Sato, Kenta, Shunsuke Takagi +1 · 2 citations
    Mathematics · #13A35 #14B05 #14B07 #14D10 #14F18 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics
23. Linearly Reductive Quotient Singularities
    2021/02/01 by Liedtke, Christian, Martin, Gebhard, Matsumoto, Yuya · 1 citation
    #13A35 #13A50 #14J17 #14L15 #20C20 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Representation Theory (math.RT)
24. Nash blowups in prime characteristic
    2020/01/28 by Duarte, Daniel, Núñez-Betancourt, Luis · 2 citations
    #13A35 #14B05 #14E15 #14J70 #16S32 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics
25. Hilbert-Kunz Multiplicity of Fibers and Bertini Theorems
    2019/08/13 by Datta, Rankeya, Simpson, Austyn · 2 citations
    #13A35 #14B05 #14F18 #14J17 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics
26. Quantifying singularities with differential operators
    2018/10/10 by Brenner, Holger, Jeffries, Jack, Núñez-Betancourt, Luis · 2 citations
    #13A35 #14B05 #14F10 #16S32 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics
27. Splittings and symbolic powers of square-free monomial Ideals
    2018/09/07 by Montaño, Jonathan, Núñez-Betancourt, Luis · 2 citations
    #05C65 #13A35 #13F20 #13F55 #90C27 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #Optimization and Control (math.OC)
28. Singularities in mixed characteristic via perfectoid big Cohen-Macaulay algebras
    2018/06/25 by Ma, Linquan, Schwede, Karl · 5 citations
    #11G99 #13A35 #13D22 #14B05 #14D10 #14F18 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics
29. Ascending chain condition for F-pure thresholds with fixed embedding dimension
    2018/05/18 by Sato, Kenta · 1 citation
    #13A35 #14B05 #14M10 #Algebraic Geometry (math.AG) #FOS: Mathematics
30. Non-Commutative Resolutions of Toric Varieties
    2018/05/01 by Faber, Eleonore, Muller, Greg, Smith, Karen E. · 1 citation
    #13A35 #13C14 #16E10 #16S32 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Rings and Algebras (math.RA)

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