Projective algebraic varieties whose universal covering spaces are biholomorphic to Cn
نویسندگان
چکیده
منابع مشابه
Ahler Manifolds Whose Universal Covering Spaces Are Biholomorphic
These manifolds M are complex tori up to nite etale coverings, or satisfy both inequalities (M) < n 3 and q(M) < n 3.
متن کاملModel Theory of universal covering spaces of complex algebraic varieties
We ask whether the notion of a homotopy class of a path on a complex algebraic variety admits a purely algebraic characterisation, and reformulate this question as a question of categoricity of the universal covering space of a complex algebraic variety in a natural countable in nitary language. We provide partial positive results towards the question. Assuming a conjecture of Shafarevich and s...
متن کاملSome Algebraic Properties of Universal and Regular Covering Spaces
Let X̃ be a connected space, X be a space, let p : X̃ −→ X be a continuous map and let (X̃, p) be a covering space of X . In the first section we give some preliminaries from covering spaces and their automorphism groups. In the second section we derive some algebraic properties of both universal and regular covering spaces (X̃, p) of X and also their automorphism groups A(X̃, p). Keywords—covering ...
متن کاملAlgebraic Cocycles on Normal, Quasi-Projective Varieties
Blaine Lawson and the author introduced algebraic cocycles on complex algebraic varieties in [FL-1] and established a duality theorem relating spaces of algebraic cocycles and spaces of algebraic cycles in [FL-2]. This theorem has non-trivial (and perhaps surprising) applications in several contexts. In particular, duality enables computations of “algebraic mapping spaces” consisting of algebra...
متن کاملPartitioning Segre varieties and projective spaces
The recent interest both in partitions of finite geometries into other geometric objects and in the classical Segre varieties over finite fields are the background motivation for this paper. More precisely, partitions of Segre varieties into Segre varieties are investigated and the idea of nested partitions is introduced. Other partitions, namely of projective spaces and hyperbolic quadrics, ar...
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 the Mathematical Society of Japan
سال: 1999
ISSN: 0025-5645
DOI: 10.2969/jmsj/05130643