作者:Lutz Hille , David Ploog |
来源:[J].Pacific Journal of Mathematics(IF 0.465), 2019, Vol.302 (2), pp.599-625MSP |
摘要:We classify spherical modules and full exceptional sequences of modules overthe Auslander algebra of $\mathbold k[x]/(x^t)$. We categorify the left and rightsymmetric group actions on these exceptional sequences to two braid groupactions: of spherical twists along simple modules,... |
作者:Elena K. Brusyanskaya , Anton A. Klyachko , Andrey V. Vasil’ev |
来源:[J].Pacific Journal of Mathematics(IF 0.465), 2019, Vol.302 (2), pp.437-452MSP |
摘要:Our result contains as special cases theFrobenius theorem (1895) on the number ofsolutions to the equation $x^n=1$in a group,the Solomon theorem (1969) on thenumber of solutions in a group to asystem of equations having fewer equations than unknowns,andthe Iwasaki theorem (1985)o... |
作者:Eva Horvat |
来源:[J].Pacific Journal of Mathematics(IF 0.465), 2019, Vol.302 (2), pp.627-644MSP |
摘要:To every oriented link $L$, we associate a topologically defined biquandle$\widehat{\mathcal{B}}_{L}$,which we call the topological biquandle of $L$. The constructionof$\widehat{\mathcal{B}}_{L}$is similar to the topological description of the fundamentalquandle given by Matveev.... |
作者:Yongsheng Han , Chin-Cheng Lin , Xinfeng Wu |
来源:[J].Pacific Journal of Mathematics(IF 0.465), 2019, Vol.302 (2), pp.545-598MSP |
摘要:\advance\leftskip1pt\advance\rightskip1ptWeestablish a weighted Hardy spacetheory associatedwith flag structures. This theory differs from those in the classicalone-parameter and the product settings, and includes weighted Hardyspaces $H^p_{\mathcal{F},w}$,weighted Carleson measu... |
作者:Michael Chou |
来源:[J].Pacific Journal of Mathematics(IF 0.465), 2019, Vol.302 (2), pp.481-509MSP |
摘要:Let $E$ be an elliptic curve defined over $\mathbb Q$, and let $\mathbb Q^{\operatorname{ab}}$ be themaximalabelian extension of $\mathbb Q$. In this article we classify the groupsthat can arise as $E(\Q^{\operatorname{ab}})_{\operatorname{tors}}$ up to isomorphism. The methodill... |
作者:Yann Bugeaud , Zhenliang Zhang |
来源:[J].Pacific Journal of Mathematics(IF 0.465), 2019, Vol.302 (2), pp.453-480MSP |
摘要:We prove over fields of power series the analogues of severalDiophantineapproximation results obtained over the field of real numbers.In particular we establish the power series analogueof Kronecker's theorem for matrices, together with aquantitative form of it, which can also be... |
作者:Yan Li , Bin Zhou |
来源:[J].Pacific Journal of Mathematics(IF 0.465), 2019, Vol.302 (2), pp.659-692MSP |
摘要:In this paper, we study Mabuchi metrics on Fano manifolds.We prove that Mabuchi metrics exist if and only if the modified Dingfunctional is proper modulo the automorphism group. As an application,we establish a criterion for the existence of Mabuchi metrics on Fanogroup compactif... |
作者:Camilo Arias Abad , Alexander Quintero Vélez , Sebastián Vélez Vásquez |
来源:[J].Pacific Journal of Mathematics(IF 0.465), 2019, Vol.302 (2), pp.385-412MSP |
摘要:We prove a categorified version of the Poincar\'e lemma. The natural settingfor our result is that of $\infty$-local systems. More precisely, we show thatany smooth homotopy between maps $f$ and $g$ induces an $\mathsf A_\infty$-naturaltransformation between the corresponding pul... |
作者:Guodong Wei |
来源:[J].Pacific Journal of Mathematics(IF 0.465), 2019, Vol.302 (2), pp.717-739MSP |
摘要:We consider the Yamabe equation on a complete noncompactRiemannianmanifold and find some geometric conditions on the manifoldsuch that the Yamabe problem admits a bounded positive solution. |
作者:Makhlouf Derridj |
来源:[J].Pacific Journal of Mathematics(IF 0.465), 2019, Vol.302 (2), pp.511-543MSP |
摘要:Following our preceding papers devoted to the case ofgeneral H\"ormander's operators $P$ with analytic-Gevrey coefficientson an open set $\Omega$ in $\mathbb{R}^n$, for which we established localrelations of domination by powers of $P$ and derived from it local$s'$-Gevrey regular... |
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