Holomorphic actions, Kummer examples, and Zimmer program
نویسندگان
چکیده
منابع مشابه
Higher Todd Classes and Holomorphic Group Actions
This paper attempts to provide an analogue of the Novikov conjecture for algebraic (or Kähler) manifolds. Inter alia, we prove a conjecture of Rosenberg’s on the birational invariance of higher Todd genera. We argue that in the algebraic geometric setting the Novikov philosophy naturally includes non-birational mappings.
متن کاملGroups Acting on Manifolds: around the Zimmer Program
This paper is a survey on the Zimmer program. In its broadest form, this program seeks an understanding of actions of large groups on compact manifolds. The goals of this survey are (1) to put in context the original questions and conjectures of Zimmer and Gromov that motivated the program, (2) to indicate the current state of the art on as many of these conjectures and questions as possible an...
متن کاملSome Remarks Inspired by the C 0 Zimmer Program
In the mid 80’s when I just arrived in Chicago, Bob Zimmer was lecturing on his recent work showing how perturbations of isometric actions of Kazhdan groups were dynamically simple (preserve a measurable Riemannian metric) [Zi1]. The heady mixture of the beauty of the results, the audacity of the vision (this is really 0% of what should be true...), and Bob’s charisma and charm attracted me so ...
متن کاملExamples of Non-kähler Hamiltonian Torus Actions
An important question with a rich history is the extent to which the symplectic category is larger than the Kähler category. Many interesting examples of non-Kähler symplectic manifolds have been constructed [T] [M] [G]. However, sufficiently large symmetries can force a symplectic manifolds to be Kähler [D] [Kn]. In this paper, we solve several outstanding problems by constructing the first sy...
متن کاملKummer Coverings and Specialization
We generalize various classical results on specialization of fundamental groups to log schemes in the sense of Fontaine and Illusie. The key technical result relates the category of finite Kummer étale covers of a fs log scheme over a complete noetherian local ring to the Kummer étale coverings of its reduction, generalizing earlier results of Hoshi.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annales scientifiques de l'École normale supérieure
سال: 2012
ISSN: 0012-9593,1873-2151
DOI: 10.24033/asens.2170