作者：Ginzburg, D; Rallis, S; Soudry, D
作者：Goetze, ER; Spatzier, RJ
摘要：Let G be a connected semisimple Lie group without compact factors ts;hose real rank is at least 2, and let Gamma subset of G be an irreducible lattice. We provide a C-infinity classification for volume-preserving Cartan actions of Gamma and G. Also, if G has real rank at least 3, we provide a C-infinity classification for volume-preserving, multiplicity free, trellised, Anosov actions on compact manifolds.
作者：Avramov, LL
摘要：Classical definitions of locally complete intersection (l.c.i,) homomorphisms of commutative rings are limited to maps that are essentially of finite type, or flat. The concept introduced in this paper is meaningful for homomorphisms cp : R --> S of commutative noetherian rings. It is defined in terms of the structure of cp in a formal neighborhood of each point of SpecS. We characterize the l.c.i. property by different conditions on the vanishing of the Andre-Quillen homology of the R-algebra...
作者：Pacifico, MJ; Rovella, A; Viana, M
作者：Burdzy, K; Werner, W
摘要：We construct a counterexample to the hot spots conjecture; there exists a bounded connected planar domain (with two holes) such that the second eigenvalue of the Laplacian in that domain with Neumann boundary conditions is simple and such that the corresponding eigenfunction attains its strict maximum at an interior point of that domain.
