Closed manifolds coming from Artinian complete intersections
نویسندگان
چکیده
منابع مشابه
Closed Manifolds Coming from Artinian Complete Intersections
We reformulate the integrality property of the Poincaré inner product in the middle dimension, for an arbitrary Poincaré Q-algebra, in classical terms (discriminant and local invariants). When the algebra is 1-connected, we show that this property is the only obstruction to realizing it by a closed manifold, up to dimension 11. We reinterpret a result of Eisenbud and Levine on finite map germs,...
متن کاملIntersections in hyperbolic manifolds
We obtain some restrictions on the topology of infinite volume hyperbolic manifolds. In particular, for any n and any closed negatively curved manifold M of dimension ≥ 3, only finitely many hyperbolic n–manifolds are total spaces of orientable vector bundles over M . AMS Classification numbers Primary: 30F40, 53C23, 57R20 Secondary: 22E40, 32H20, 51M10
متن کاملCriteria for complete intersections
We establish two criteria for certain local algebras to be complete intersections. These criteria play an important role in A. Wiles’s proof that all semi-stable elliptic curves over Q are modular. Introduction In this paper we discuss two results in commutative algebra that are used in A. Wiles’s proof that all semi-stable elliptic curves over Q are modular [11]. We first fix some notation tha...
متن کاملSelf-intersections of Closed Parametrized Minimal Surfaces in Generic Riemannian Manifolds
This article shows that for a generic choice of Riemannian metric on a compact manifold M of dimension at least five, all prime compact parametrized minimal surfaces within M are imbeddings. Moreover, if M has dimension four, all prime compact parametrized minimal surfaces within M have transversal self-interstions, and at any self-intersection the tangent planes fail to be complex for any choi...
متن کاملIntersections of Real Closed Fields
1. In this paper we wish to study fields which can be written as intersections of real closed fields. Several more restrictive classes of fields have received careful study (real closed fields by Artin and Schreier, hereditarily euclidean fields by Prestel and Ziegler [8], hereditarily Pythagorean fields by Becker [1]), with this more general class of fields sometimes mentioned in passing. We s...
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: Transactions of the American Mathematical Society
سال: 2006
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-06-04077-3