منابع مشابه
Invariant Hypersurfaces for Positive Characteristic Vector Fields
We show that a generic vector field on an affine space of positive characteristic admits an invariant algebraic hypersurface. This is in sharp contrast with the characteristic zero case where Jouanolou’s Theorem says that a generic vector field on the complex plane does not admit any invariant algebraic curve.
متن کاملVector-valued Wavelet Packets on Local Fields of Positive Characteristic
The concept of vector-valued multiresolution analysis on local field of positive characteristic was considered by Abdullah [Vector-valued multiresolution analysis on local fields of positive characteristic, Analysis. 34(2014) 415-428]. We construct the associated wavelet packets for such an MRA and investigate their properties by virtue of the Fourier transform. Moreover, it is shown how to obt...
متن کاملCharacteristic Numbers, Genera, and Resolutions
In this paper we survey various constructions and properties of genera and characteristic numbers of singular complex algebraic varieties. In particular, we discuss genera for the singular varieties appearing in the minimal model program, as well as those defined by Hodge theory and functorial characteristic classes.
متن کاملModular Invariance and Characteristic Numbers
We prove that a general miraculous cancellation formula, the divisibility of certain characteristic numbers, and some other topological results related to the generalized Rochlin invariant, the η-invariant and the holonomies of certain determinant line bundles, are consequences of the modular invariance of elliptic operators on loop space. 1. Motivations In [AW], a gravitational anomaly cancell...
متن کاملCurvature, Cones, and Characteristic Numbers
We study Einstein metrics on smooth compact 4-manifolds with an edge-cone singularity of specified cone angle along an embedded 2-manifold. To do so, we first derive modified versions of the GaussBonnet and signature theorems for arbitrary Riemannian 4-manifolds with edge-cone singularities, and then show that these yield non-trivial obstructions in the Einstein case. We then use these integral...
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: Michigan Mathematical Journal
سال: 1967
ISSN: 0026-2285
DOI: 10.1307/mmj/1028999721