The embedding conjecture for quasi-ordinary hypersurfaces
نویسندگان
چکیده
منابع مشابه
The embedding conjecture for quasi-ordinary hypersurfaces
This paper has two objectives: we first generalize the theory of Abhyankar-Moh to quasi-ordinary polynomials, then we use the notion of approximate roots and that of generalized Newton polygons in order to prove the embedding conjecture for this class of polynomials. This conjecture -made by S.S. Abhyankar and A. Sathayesays that if a hypersurface of the affine space is isomorphic to a coordina...
متن کاملAbout the Connes Embedding Conjecture
In his celebrated paper in 1976, A. Connes casually remarked that any finite von Neumann algebra ought to be embedded into an ultraproduct of matrix algebras, which is now known as the Connes embedding conjecture or problem. This conjecture became one of the central open problems in the field of operator algebras since E. Kirchberg’s seminal work in 1993 that proves it is equivalent to a variet...
متن کاملOn the Quasi - Ordinary Cuspidal Foliations
i,j cijxjdxi, cij ∈ C. The integrability condition ω ∧ dω = 0 implies that ω1 ∧ dω1 = 0. Let C be the matrix (cij)i,j ∈ Mn×n(C). Writing down explicitly the integrability condition, the coefficient of dxi ∧ dxj ∧ dxk (i < j < k) in ω1 ∧ dω1 is ci(ckj − cjk)− cj(cki − cik) + ck(cji − cij), where ci = ∑n j=1 cijxj . Two cases appear: (1) C is a symmetric matrix. (2) C is not symmetric. So, it exi...
متن کاملChain complexes for Alperin’s weight conjecture and Dade’s ordinary conjecture in the abelian defect group case∗
We give an axiomatic concept for the construction of contractible chain complexes whose existence implies Dade’s ordinary conjecture and Alperin’s weight conjecture and we show that in the abelian defect group case such chain complexes exist if a weaker form of Broué’s conjecture holds.
متن کاملHypersurfaces in a quasi Kähler manifold
Okumura gave a necessary and sufficient condition for an oriented real hypersurface of a Kähler manifold to be a contact metric manifold with respect to the naturally induced almost contact metric structure. In this paper, we discuss an oriented hypersurface of a quasi Kähler manifold and give a necessary and sufficient condition for such a hypersurface to be a quasi contact metric manifold wit...
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: Journal of Pure and Applied Algebra
سال: 2010
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2009.12.007