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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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