Inventiones mathematicae

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• Toric reduction and a conjecture of Batyrev and Materov AI翻译
  作者：Szenes, A; Vergne, M
  作者单位：Budapest University of Technology & Economics; Institut Polytechnique de Paris; Ecole Polytechnique
• An example of non-normal quintic automorphic induction and modularity of symmetric powers of cusp forms of icosahedral type AI翻译
  作者：Kim, HH
  作者单位：University of Toronto
• The geometry of minimal surfaces of finite genus II; nonexistence of one limit end examples AI翻译
  作者：Meeks, WH III; Pérez, J; Ros, A
  作者单位：University of Massachusetts System; University of Massachusetts Amherst; University of Granada
  摘要：We demonstrate that a properly embedded minimal surface in R-3 with finite genus cannot have one limit end.
• Mean square values of Hecke L-series formed with r-th order characters AI翻译
  作者：Diaconu, A
  作者单位：Columbia University
  摘要：Let L be a number field containing the r-th roots of unity. Starting with the Rankin-Selberg convolution of a metaplectic Eisenstein series on the r-fold cover of GL(2) with itself, we construct a Dirichlet series defined over L whose coefficients involve the r-th order twists of a fixed Hecke L-function. We then observe that a group of functional equations can be naturally associated with this construction. Combining this with the convexity theorem for holomorphic functions of several complex...
• Absolutely indecomposable representations and Kac-Moody Lie algebras AI翻译
  作者：Crawley-Boevey, W; Van den Bergh, M
  作者单位：University of Leeds; Hasselt University
  摘要：A conjecture of Kac states that the polynomial counting the number of absolutely indecomposable representations of a quiver over a finite field with given dimension vector has positive coefficients and furthermore that its constant term is equal to the multiplicity of the corresponding root in the associated Kac-Moody Lie algebra. In this paper we prove these conjectures for indivisible dimension vectors.
• Poincare series of a rational surface singularity AI翻译
  作者：Campillo, A; Delgado, F; Gusein-Zade, SM
  作者单位：Universidad de Valladolid; Lomonosov Moscow State University
• Stable reductive varieties I: Affine varieties AI翻译
  作者：Alexeev, V; Brion, M
  作者单位：University System of Georgia; University of Georgia; Communaute Universite Grenoble Alpes; Universite Grenoble Alpes (UGA)
• The integral K-theoretic Novikov conjecture for groups with finite asymptotic dimension AI翻译
  作者：Carlsson, G; Goldfarb, B
  作者单位：Stanford University; State University of New York (SUNY) System; University at Albany, SUNY
  摘要：The integral assembly map in algebraic K-theory is split injective for any geometrically finite discrete group with finite asymptotic dimension.
• Gerbes of chiral differential operators. II. Vertex algebroids AI翻译
  作者：Gorbounov, V; Malikov, F; Schechtman, V
  作者单位：University of Kentucky; University of Southern California; Universite de Toulouse; Universite Toulouse III - Paul Sabatier
• On exponential growth and uniformly exponential growth for groups AI翻译
  作者：Wilson, JS
  作者单位：University of Birmingham