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Computation of volume potentials on structured grids with the method of local corrections
作者：Chris Kavouklis , Phillip Colella
来源：[J].Communications in Applied Mathematics and Computational Science(IF 2.4), 2018, Vol.14 (1), pp.1-32MSP
摘要：We present a new version of the method of local corrections (MLC) ofMcCorquodale, Colella, Balls, and Baden (2007),a multilevel, low-communication, noniterative domain decomposition algorithmfor the numerical solution of the free space Poisson's equation in three dimensions onloc...
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    Computation of volume potentials on structured grids with the method of local corrections
    作者：Chris Kavouklis , Phillip Colella
    来源：[J].Communications in Applied Mathematics and Computational Science(IF 2.4), 2018, Vol.13 (2), pp.337-368MSP
    摘要：We present a new version of the method of local corrections (MLC) ofMcCorquodale, Colella, Balls, and Baden (2007),a multilevel, low-communication, noniterative domain decomposition algorithmfor the numerical solution of the free space Poisson's equation in three dimensions onloc...
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      Arithmetic degrees and dynamical degrees of endomorphisms on surfaces
      作者：Yohsuke Matsuzawa , Kaoru Sano , Takahiro Shibata
      来源：[J].Algebra & Number Theory(IF 0.625), 2018, Vol.12 (7), pp.1635-1657MSP
      摘要：For a dominant rational self-map on a smooth projective varietydefined over a number field,Kawaguchi and Silverman conjectured thatthe (first) dynamical degree is equal to the arithmetic degreeat a rational point whose forward orbit is well-defined and Zariskidense.We prove this ...
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        Homogeneous length functions on groups
        作者：Tobias Fritz , Siddhartha Gadgil , Apoorva Khare ...
        来源：[J].Algebra & Number Theory(IF 0.625), 2018, Vol.12 (7), pp.1773-1786MSP
        摘要：A pseudolength function defined on an arbitrary group$G = (G,\cdot\hskip0.1667em ,e, (\hskip0.1667em)^{-1})$is a map $\ell: G \to [0,+\infty)$ obeying $\ell(e)=0$,the symmetry property $\ell(x^{-1}) = \ell(x)$, and the triangleinequality $\ell(xy) \leq \ell(x) + \ell(y)$ for all ...
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          Irreducible components of minuscule affineDeligne–Lusztig varieties
          作者：Paul Hamacher , Eva Viehmann
          来源：[J].Algebra & Number Theory(IF 0.625), 2018, Vol.12 (7), pp.1611-1634MSP
          摘要：We examine the set of $J_b(F)$-orbits in the set ofirreducible components of affine Deligne--Lusztig varieties for a hyperspecialsubgroup and minuscule coweight $\mu$. Our description implies in particularthat its number of elements is bounded by the dimension of a suitable weigh...
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            Algebraic dynamics of the lifts of Frobenius
            作者：Junyi Xie
            来源：[J].Algebra & Number Theory(IF 0.625), 2018, Vol.12 (7), pp.1715-1748MSP
            摘要：We study the algebraic dynamicsof endomorphisms of projective spaceswith coefficients in a $p$-adicfield whose reduction in positive characteristic is the Frobenius. Inparticular, we prove a version of the dynamical Manin--Mumfordconjecture and the dynamical Mordell--Lang conject...
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              When are permutation invariants Cohen–Macaulayover all fields ?
              作者：Ben Blum-Smith , Sophie Marques
              来源：[J].Algebra & Number Theory(IF 0.625), 2018, Vol.12 (7), pp.1787-1821MSP
              摘要：We prove that the polynomial invariants of a permutation group areCohen--Macaulay for any choice of coefficient field if and only ifthe group is generated by transpositions, double transpositions,and 3-cycles. This unites and generalizes several previously knownresults. The ``if'...
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                Big Cohen–Macaulay algebras and the vanishingconjecture for maps of Tor in mixed characteristic
                作者：Raymond Heitmann , Linquan Ma
                来源：[J].Algebra & Number Theory(IF 0.625), 2018, Vol.12 (7), pp.1659-1674MSP
                摘要：We prove a version of weakly functorial big Cohen--Macaulay algebras thatsuffices to establish Hochster and Huneke's vanishing conjecture for maps ofTor in mixed characteristic. As a corollary, we prove an analog of Boutot'stheorem that direct summands of regular rings are pseudo...
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                  Blocks of the category of smooth ℓ-modularrepresentations of GL(n,F) and its inner forms : reduction to level 0
                  作者：Gianmarco Chinello
                  来源：[J].Algebra & Number Theory(IF 0.625), 2018, Vol.12 (7), pp.1675-1713MSP
                  摘要：Let $G$ be an inner form of a general linear group over anonarchimedean locally compact field of residue characteristic $p$,let $R$ be an algebraically closed field of characteristic differentfrom $p$ and let $\mathscr{R}_R(G)$ be thecategory of smooth representations of $G$ over...
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                    A dynamical variant of the Pink–Zilberconjecture
                    作者：Dragos Ghioca , Khoa Nguyen
                    来源：[J].Algebra & Number Theory(IF 0.625), 2018, Vol.12 (7), pp.1749-1771MSP
                    摘要：Let $f_1,\ldots, f_n\in\overline{\mathbb{Q}}[x]$ be polynomials ofdegree $d>1$ such that no $f_i$ is conjugate to $x^d$ or to $\pmC_d(x)$,where $C_d(x)$ is the Chebyshev polynomial of degree $d$.We let $\varphi$ be their coordinatewise action on $\mathbb{A}^n$,i.e., $\varphi:\mat...
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