The main subject of our study is GA , the variety of automophisms of the 2, n affine plane of degree bounded by a positive integer n. After detailing some definitions and notations in Section 1, we give in Section 2 an algorithm to decide whether an endomorphism of the affine plane over an integral
Poisson Cohomology of the Affine Plane
โ Scribed by Claude Roger; Pol Vanhaecke
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 114 KB
- Volume
- 251
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
โฆ Synopsis
We compute the Poisson cohomology of homogeneous Poisson structures on the plane. The singular locus of such a Poisson structure consists of a family of lines passing through O, and we show how the dimensions of the first and second cohomology groups are related to the weight of O as a singular point of . ๏ฃฉ 2002 Elsevier Science (USA)
๐ SIMILAR VOLUMES
We study the problem of bounding the exponent needed to annihilate 0 ลฝ w q x . H RrI , where R is a characteristic p ring. The main result is for the case m where R is a finitely generated graded algebra over a field, and it has applications in tight closure theory.
The space 1 X of all locally finite configurations in a Riemannian manifold X of infinite volume is considered. The deRham complex of square-integrable differential forms over 1 X , equipped with the Poisson measure, and the corresponding deRham cohomology are studied. The latter is shown to be unit
Let X = C n . In this paper we present an algorithm that computes the de Rham cohomology groups H i dR (U, C) where U is the complement of an arbitrary Zariski-closed set Y in X. Our algorithm is a merger of the algorithm given in Oaku and Takayama (1999), who considered the case where Y is a hyper
We prove that the total space E of an algebraic affine C -bundle ฯ : E โ X on the punctured complex affine plane X := C 2 -{(0, 0)} is Stein if and only if it is not isomorphic to the trivial holomorphic line bundle X ร C . ## 0. Introduction Let ฯ : E โ X be a holomorphic affine C -bundle on the