The injectivity of Frobenius acting on cohomology and local cohomology modules
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Publication:1817356
DOI10.1007/BF02568308zbMath0882.13005OpenAlexW2071064285WikidataQ123149669 ScholiaQ123149669MaRDI QIDQ1817356
Nobuo Hara, Kei- ichi Watanabe
Publication date: 6 February 1997
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/156195
Integral closure of commutative rings and ideals (13B22) Local cohomology and commutative rings (13D45) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35)
Related Items (7)
Graded annihilators of modules over the Frobenius skew polynomial ring, and tight closure ⋮ On some permanence properties of (derived) splinters ⋮ Geometric interpretation of tight closure and test ideals ⋮ The saturation of frobenius powers of ideals ⋮ Right and left modules over the Frobenius skew polynomial ring in theF-finite case ⋮ F-rationality of Rees algebras ⋮ Uniform behaviour of the Frobenius closures of ideals generated by regular sequences
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- On Isolated Rational Singularities of Surfaces
- On the Behavior of Extensions of Vector Bundles Under the Frobenius Map
- Normal surface singularities with \(\mathbb{C}^*\) action
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