4. Mathematics
  5. Commutative Algebra

Kazuma Shimomoto

Mathematics – Commutative Algebra

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Almost Cohen-Macaulay algebras in mixed characteristic via Fontaine rings

Mathematics – Commutative Algebra
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Bertini theorem for normality on local rings in mixed characteristic (applications to characteristic ideals)

Mathematics – Number Theory
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F-coherent rings with applications to tight closure theory

Mathematics – Commutative Algebra
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On the localization theorem for F-pure rings

Mathematics – Commutative Algebra
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On the semicontinuity problem of fibers and global F-regularity

Mathematics – Algebraic Geometry
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