美国数学学会期刊
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作者:Makoto Ozawa
来源:[J].Sugaku Expositions, 2019, Vol.32 (2), pp.155-179AMS
摘要:This article is an English translation of the Japanese article, ``Musubime to Kyokumen'', Math. Soc. Japan, Sugaku Vol. 67, No. 4 (2015), pp. 403-423. It surveys a specific area in Knot Theory concerning surfaces in knot exteriors.
作者:Travis Morrison
来源:[J].Transactions of the American Mathematical Society(IF 1.019), 2019, Vol.372 (8), pp.5825-5850AMS
摘要:We show that, for any square-free natural number $ n$ and any global field $ K$ with $ ({\rm char}(K), n)=1$ containing a primitive $ n$th root of unity, the pairs $ (x,y)\in K^{\times }\times K^{\times }$ such that $ x$ is not a relative norm of $ K(\sqrt [n]{y})/K$ form a ...
作者:Emmanuel Hallouin , Marc Perret
来源:[J].Transactions of the American Mathematical Society(IF 1.019), 2019, Vol.372 (8), pp.5409-5451AMS
摘要:We provide an infinite sequence of upper bounds for the number of rational points of absolutely irreducible smooth projective curves $ X$ over a finite field, starting from the Weil classical bound, continuing to the Ihara bound, passing through infinitely many $ n$-th order...
作者:Yakov Karasik
来源:[J].Transactions of the American Mathematical Society(IF 1.019), 2019, Vol.372 (8), pp.5531-5546AMS
摘要:Let $ \mathbb{F}$ be a characteristic zero field, let $ G$ be a residually finite group, and let $ W$ be a $ G$-prime and polynomial identity $ \mathbb{F}$-algebra. By constructing $ G$-graded central polynomials for $ W$, we prove the $ G$-graded version of Posner's theorem. Mor...
作者:Tasho Kaletha
来源:[J].Journal of the American Mathematical Society(IF 3.567), 2019, Vol.32 (4), pp.1071-1170AMS
摘要:We show that, in good residual characteristic, most supercuspidal representations of a tamely ramified reductive $ p$-adic group $ G$ arise from pairs $ (S,\theta )$, where $ S$ is a tame elliptic maximal torus of $ G$, and $ \theta $ is a character of $ S$ satisfying a simple ro...
作者:Özlem Beyarslan , Daniel Max Hoffmann , Moshe Kamensky ...
来源:[J].Transactions of the American Mathematical Society(IF 1.019), 2019, Vol.372 (8), pp.5991-6016AMS
摘要:We give algebraic conditions for a finite commutative algebra $ B$ over a field of positive characteristic, which are equivalent to the companionability of the theory of fields with ``$ B$-operators'' (i.e., the operators coming from homomorphisms into tensor products with $ B$)....
作者:Georgios Sakellaris
来源:[J].Transactions of the American Mathematical Society(IF 1.019), 2019, Vol.372 (8), pp.5947-5989AMS
摘要:We use the method of layer potentials to study the $ R_2$ regularity problem and the $ D_2$ Dirichlet problem for second order elliptic equations with lower order coefficients in bounded Lipschitz domains. For $ R_2$ we establish existence and uniqueness by assuming that $ \...
作者:Kouichi Yasui
来源:[J].Transactions of the American Mathematical Society(IF 1.019), 2019, Vol.372 (8), pp.5375-5392AMS
摘要:It is well known that for any exotic pair of simply connected closed oriented 4-manifolds, one is obtained from the other by twisting a compact contractible submanifold via an involution on the boundary. By contrast, here we show that for each positive integer $ n$, there exists ...

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