Rational curves on del Pezzo surfaces in positive characteristic
Article Properties
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LanguageEnglish
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DOI (url)
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Publication Date2023/03/06
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Indian UGC (journal)
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Refrences69
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Citations2
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Roya Beheshti
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Brian Lehmann
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Eric Riedl
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Sho Tanimoto
Abstract
Cite
Beheshti, Roya, et al. “Rational Curves on Del Pezzo Surfaces in Positive Characteristic”. Transactions of the American Mathematical Society, Series B, vol. 10, no. 14, 2023, pp. 407-51, https://doi.org/10.1090/btran/138.
Beheshti, R., Lehmann, B., Riedl, E., & Tanimoto, S. (2023). Rational curves on del Pezzo surfaces in positive characteristic. Transactions of the American Mathematical Society, Series B, 10(14), 407-451. https://doi.org/10.1090/btran/138
Beheshti, Roya, Brian Lehmann, Eric Riedl, and Sho Tanimoto. “Rational Curves on Del Pezzo Surfaces in Positive Characteristic”. Transactions of the American Mathematical Society, Series B 10, no. 14 (2023): 407-51. https://doi.org/10.1090/btran/138.
Beheshti R, Lehmann B, Riedl E, Tanimoto S. Rational curves on del Pezzo surfaces in positive characteristic. Transactions of the American Mathematical Society, Series B. 2023;10(14):407-51.
Journal Category
Science
Mathematics
Refrences
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
| Pathologies and liftability of Du Val del Pezzo surfaces in positive characteristic | Mathematische Zeitschrift |
| 5 | 2022 |
Geometric consistency of Manin's conjecture | Compositio Mathematica |
| 3 | 2022 |
| Classifying sections of del Pezzo fibrations, II | Geometry & Topology |
| 3 | 2022 |
| Density of rational points on a quadric bundle in P 3 × P 3 | Duke Mathematical Journal |
| 7 | 2020 |
Geometric Manin’s conjecture and rational curves | Compositio Mathematica |
| 8 | 2019 |
Refrences Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 41 |
| Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods | 1 |
The category
Science: Mathematics 41
is the most frequently represented among the references in this article. It primarily includes studies from Inventiones mathematicae and Duke Mathematical Journal. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
| Title | Journal | Journal Categories | Citations | Publication Date |
|---|---|---|---|---|
The Irreducibility of the Spaces of Rational Curves on del Pezzo Manifolds | International Mathematics Research Notices |
| 2024 | |
| A Zariski dense exceptional set in Manin’s Conjecture: dimension 2 | Research in Number Theory |
| 2023 |
Citations Analysis
| Category | Category Repetition |
|---|---|
| Science: Mathematics | 2 |
The category
Science: Mathematics 2
is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled A Zariski dense exceptional set in Manin’s Conjecture: dimension 2 and was published in 2023. The most recent citation comes from a 2024 study titled The Irreducibility of the Spaces of Rational Curves on del Pezzo Manifolds. This article reached its peak citation in 2024, with 1 citations. It has been cited in 2 different journals. Among related journals, the International Mathematics Research Notices cited this research the most, with 1 citations. The chart below illustrates the annual citation trends for this article.