F-modules: applications to local cohomology and D-modules in characteristic p>0.
Article Properties
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DOI (url)
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Publication Date1997/10/01
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Indian UGC (journal)
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Citations110
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Gennady Lyubeznik
Cite
Lyubeznik, Gennady. “F-Modules: Applications to Local Cohomology and D-Modules in Characteristic p≫0”. Journal für Die Reine Und Angewandte Mathematik (Crelles Journal), vol. 1997, no. 491, 1997, pp. 65-130, https://doi.org/10.1515/crll.1997.491.65.
Lyubeznik, G. (1997). F-modules: applications to local cohomology and D-modules in characteristic p>0. Journal für Die Reine Und Angewandte Mathematik (Crelles Journal), 1997(491), 65-130. https://doi.org/10.1515/crll.1997.491.65
Lyubeznik G. F-modules: applications to local cohomology and D-modules in characteristic p>0. Journal für die reine und angewandte Mathematik (Crelles Journal). 1997;1997(491):65-130.
Journal Category
Science
Mathematics
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Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Graded Components of Local Cohomology Modules Over Invariant Rings-II | Vietnam Journal of Mathematics |
| 2024 | |
A Formalism of F-modules for Rings with Complete Local Finite F-Representation Type | International Mathematics Research Notices |
| 2024 | |
Rees algebras and generalized depth‐like conditions in prime characteristic | Mathematische Nachrichten |
| 2023 | |
| Differential operators on classical invariant rings do not lift modulo p | Advances in Mathematics |
| 2 | 2023 |
| Homological properties of pinched Veronese rings | Journal of Algebra |
| 2 | 2023 |
Citations Analysis
The category
Science: Mathematics 105
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled Algorithmic computation of local cohomology modules and the local cohomological dimension of algebraic varieties and was published in 1999. The most recent citation comes from a 2024 study titled A Formalism of F-modules for Rings with Complete Local Finite F-Representation Type. This article reached its peak citation in 2019, with 12 citations. It has been cited in 35 different journals. Among related journals, the Journal of Algebra cited this research the most, with 21 citations. The chart below illustrates the annual citation trends for this article.