2004

最新文章

• The geometric complexity of special Lagrangian T2-cones AI翻译
  作者：Haskins, M
  作者单位：Johns Hopkins University
  摘要：We prove a number of results on the geometric complexity of special Lagrangian (SLG) T-2-cones in C-3. Every SLG T-2-cone has a fundamental integer invariant, its spectral curve genus. We prove that the spectral curve genus of an SLG T-2-cone gives a lower bound for its geometric complexity, i.e. the area, the stability index and the Legendrian index of any SLG T-2-cone are all bounded below by explicit linearly growing functions of the spectral curve genus. We prove that the cone on the Cliff...
• The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels AI翻译
  作者：Golse, F; Saint-Raymond, L
  作者单位：Institut Universitaire de France; Universite PSL; Ecole Normale Superieure (ENS); Sorbonne Universite
  摘要：The present work establishes a Navier-Stokes limit for the Boltzmann equation considered over the infinite spatial domain R-3. Appropriately scaled families of DiPerna-Lions renormalized solutions are shown to have fluctuations whose limit points (in the w-L-1 topology) are governed by Leray solutions of the limiting Navier-Stokes equations. This completes the arguments in Bardos-Golse-Levermore [Commun. Pure Appl. Math. 46(5), 667-753 (1993)] for the steady case, and in Lions-Masmoudi [Arch. ...
• Asymptotic analysis of Θ-hypergeometric functions AI翻译
  作者：Pasquale, A
  作者单位：TU Clausthal
  摘要：We define the Theta-hypergeometric functions as a generalization of the hypergeometric functions associated with root systems of Heckman and Opdam. In the geometric setting, the Theta-hypergeometric functions can be specialized to Harish-Chandra's spherical functions on Riemannian symmetric spaces of noncompact type, and also to the spherical functions on noncompactly causal symmetric spaces. After describing their regularity properties, we prove estimates for the Theta-hypergeometric function...
• 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)