作者：Thomas Geisser 来源：[J].Sugaku Expositions, 2019, Vol.32 (2), pp.181-203AMS
 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：Yoshio Tsutsumi 来源：[J].Sugaku Expositions, 2019, Vol.32 (2), pp.137-153AMS
 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 ...