作者：Mátyás Domokos 来源：[J].Algebra & Number Theory(IF 0.625), 2018, Vol.12 (5), pp.1233-1242MSP 摘要：Working over an infinite field of positivecharacteristic, an upperbound is given for the nilpotency indexof a finitely generated nilalgebra of bounded nil index $n$ in terms of the maximal degree ina minimal homogenous generating system of the ring of simultaneousconjugation inva...
 作者：Giancarlo Urzúa , José Yáñez 来源：[J].Algebra & Number Theory(IF 0.625), 2018, Vol.12 (5), pp.1073-1105MSP 摘要：Koll\'ar (2008) introduced the surfaces$(x_1^{a_1}x_2+x_2^{a_2}x_3+x_3^{a_3}x_4+x_4^{a_4}x_1=0)\subset\P(w_1,w_2,w_3,w_4)$ where $w_i=W_i/w^*$,$W_i=a_{i+1}a_{i+2}a_{i+3}-a_{i+2}a_{i+3}+a_{i+3}-1$, and$w^*=\gcd(W_1,\dots,W_4)$. The aim was to give many interesting examplesof $\Q...  作者：Guillaume Rond 来源：[J].Algebra & Number Theory(IF 0.625), 2018, Vol.12 (5), pp.1215-1231MSP 摘要：We prove that any complex or real analytic setor function germ is topologically equivalent to a germ defined bypolynomial equations whose coefficients are algebraic numbers.  作者：Eric Friedlander , Cris Negron 来源：[J].Algebra & Number Theory(IF 0.625), 2018, Vol.12 (5), pp.1281-1309MSP 摘要：Consider a field$k$of characteristic$p > 0$,the$r$-th Frobenius kernel$\mathbb{G}_{(r)}$of a smooth algebraicgroup$\mathbb{G}$, theDrinfeld double$\operatorname{D}\mathbb{G}_{(r)}$of$\mathbb{G}_{(r)}$, and a finitedimensional$\operatorname{D}\mathbb{G}_{(r)}$-module$M...
 作者：Raju Krishnamoorthy 来源：[J].Algebra & Number Theory(IF 0.625), 2018, Vol.12 (5), pp.1173-1214MSP 摘要：We study the formal properties of correspondences of curves withouta core, focusing on the case of \'etale correspondences. The motivatingexamples come from Hecke correspondences of Shimura curves. Givena correspondence without a core, we construct an infinite graph$\mathcal{G}_{...  作者：Armand Brumer , Kenneth Kramer 来源：[J].Algebra & Number Theory(IF 0.625), 2018, Vol.12 (5), pp.1027-1071MSP 摘要：An abelian surface$A_{/\mathbb{Q}}$of prime conductor$N$is {\em favorable}if its 2-division field$F$is an$\mathcal S_5$-extension over$\mathbb{Q}$withramification index 5 over$\mathbb{Q}_2$.Let$A$be favorable and let$B$be a semistable abelian variety of dimension$2d$a...  作者：Jean-Loup Waldspurger 来源：[J].Algebra & Number Theory(IF 0.625), 2018, Vol.12 (5), pp.1107-1171MSP 摘要：\selectlanguage{french}Soit$G$un groupe$\mathop{\operatorname{SO}}(2n+1)$d\'efini sur uncorps$p$-adique. Nouscalculonsle front d'onde des repr\'esentations irr\'eductiblesanti-temp\'er\'ees de$G(F)$qui sont de r\'eduction unipotente. Lefront d'onde d'unetelle repr\'esentat...  作者：Brad Rodgers 来源：[J].Algebra & Number Theory(IF 0.625), 2018, Vol.12 (5), pp.1243-1279MSP 摘要：\vspace*{-1pt}We consider the variance of sums of arithmetic functions over randomshort intervals in the function field setting. Based on the analogybetween factorizations of random elements of$\mathbb{F}_q[T]$intoprimes and the factorizations of random permutations into cycles...  作者：Hans Franzen , Markus Reineke 来源：[J].Algebra & Number Theory(IF 0.625), 2018, Vol.12 (5), pp.1001-1025MSP 摘要：The semistable ChowHa of a quiver with stability is defined as ananalog of the cohomological Hallalgebra of Kontsevich and Soibelmanvia convolution in equivariant Chow groups of semistable loci inrepresentation varieties of quivers. We prove several structuralresults on the semis...  作者：Noé Bárcenas Torres , Rudolf Zeidler 来源：[J].Annals of K-Theory, 2018, Vol.3 (3), pp.565-579MSP 摘要：Let$\Gamma$be a discrete group.Assuming rational injectivity of the Baum--Connes assembly map, weprovide new lower bounds on the rank of the positive scalar curvaturebordism group and the relative group in Stolz' positive scalar curvaturesequence for$\operatorname{B} \Gamma\$.T...