Results 1 to 10 of about 125 (73)
Karpatsʹkì Matematičnì Publìkacìï, 2013 A proof of nondegeneracy of the Tate pairing and Kolyvagin's formula for elliptic curves with good reductions over an $n$-dimensional ($nleq 3$) pseudolocal field, the Tate pairing associated to an isogeny between abelian varieties over pseudolocal field
V. I. Nesteruk
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Computing Local Artin Maps, and Solvability of Norm Equations
Journal of Symbolic Computation, 2000 Based on the efficient computation of the automorphism group of abelian extensions of number fields by the authors [Math. Comput. 68, 1179-1186 (1999; Zbl 0937.11062)] and \textit{J. Klüners} [Über die Berechnung von Automorphismen und Teilkörpern algebraischer Zahlkörper.
Vincenzo Acciaro, Jürgen Klüners
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On the Kolyvagin formula for elliptic curves with good reductions over pseudolocal fields [PDF]
Математичні Студії, 2013 We consider the {relationships between the} local Artin map$heta colon K^* o mathrm{Gal}(K^{ab}/K)$ {and the} Hilbert symbol $(cdot,,cdot)colon K^*/K^{*m} imes K^*/K^{*m} longrightarrow mu_m$ for {a} general local field, as well as {between} the Tate ...
V. I. Nesteruk
doaj
设 $K$ 为特征 $p$ 的局部域。对 $K$ 的 $p^e$ 阶全分歧循环扩张中局部互反映射的显式表达进行系统性研究。传统 Artin–Schreier–Witt 理论仅以隐式存在性方式给出扩域生成元,使得互反律的计算必须诉诸超越的微分残数算子,无法实现纯代数闭合。引入**规范截面算子** $\mathcal{L}$ 这一新工具,通过对 Witt 方程的解强制施加 Puiseux 级数常数项归零的典范约束,彻底消除了求根的多值歧义。在此基础上,建立并证明了**逐层AS解耦定理**,将高阶 Witt 方程的求解精确降维为有限步 $\mathbb{F}_p$-线性递推。证明了规范生成元与分歧滤波的严格匹配,并将 Galois 作用的读出转化为常数项提取的直接代数操作。证明了迹映射在 Artin ...
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Relative timing of respiratory syncytial virus epidemics in summer 2021 across the United States was similar to a typical winter season. [PDF]
Influenza Other Respir Viruses, 2022 Zheng Z +4 more
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Structured deep embedding model to generate composite clinical indices from electronic health records for early detection of pancreatic cancer. [PDF]
Patterns (N Y), 2023 Park J +6 more
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Ordinary varieties with trivial canonical bundle are not uniruled. [PDF]
Math Ann, 2021 Patakfalvi Z, Zdanowicz M.
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Zariski density of crystalline points. [PDF]
Proc Natl Acad Sci U S A, 2023 Böckle G, Iyengar A, Paškūnas V.
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On the Mordell-Weil lattice of y 2 = x 3 + b x + t 3 n + 1 in characteristic 3. [PDF]
Res Number Theory, 2022 Leterrier G.
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Perverse schobers and Orlov equivalences. [PDF]
Eur J Math, 2023 Koseki N, Ouchi G.
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