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Exceptional sequences and spherical modules for theAuslander algebra of TEXTBACKSLASHmathboldTEXTBACKSLASHk[x]∕(xt)
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,...
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    What do Frobenius’s, Solomon’s, and Iwasaki’stheorems on divisibility in groups have in common ?
    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...
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      The topological biquandle of a link
      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....
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        Boundedness of singular integrals with flag kernels on weighted flag Hardy spaces
        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...
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          Torsion of rational elliptic curves over themaximal abelian extension of ℚ
          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...
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            On homogeneous and inhomogeneous Diophantine approximation over the fields of formal power series
            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...
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              Mabuchi metrics and properness of the modified Ding functional
              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...
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                An A∞ version of the Poincarélemma
                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...
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                  Yamabe equation on some complete noncompact manifolds
                  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.
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                    Local estimates for Hörmander’s operators offirst kind with analytic Gevrey coefficients and application to the regularity of theirGevrey vectors
                    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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