Infinite-dimensional Complex Projective Spaces and Complete Intersections
نویسنده
چکیده
Let V be an infinite-dimensional complex Banach space and X ⊂ P(V ) a closed analytic subset with finite codimension. We give a condition on X which implies that X is a complete intersection. We conjecture that the result should be true for more general topological vector spaces.
منابع مشابه
Branched Coverings and Minimal Free Resolution for Infinite-dimensional Complex Spaces
We consider the vanishing problem for higher cohomology groups on certain infinite-dimensional complex spaces: good branched coverings of suitable projective spaces and subvarieties with a finite free resolution in a projective space P(V ) (e.g. complete intersections or cones over finitedimensional projective spaces). In the former case we obtain the vanishing result for H. In the latter case ...
متن کاملFano Hypersurfaces in Weighted Projective 4-Spaces
A Fano variety is a projective variety whose anticanonical class is ample. A 2–dimensional Fano variety is called a Del Pezzo surface. In higher dimensions, attention originally centered on smooth Fano 3–folds, but singular Fano varieties are also of considerable interest in connection with the minimal model program. The existence of Kähler–Einstein metrics on Fano varieties has also been explo...
متن کاملElliptic Genera and Stringy Complete Intersections
In this note, we prove that the Witten genus of nonsingular stringy complete intersections in product of complex projective spaces vanishes.
متن کاملKähler–Einstein submanifolds of the infinite dimensional projective space
This paper consists of two main results. In the first one we describe all Kähler immersions of a bounded symmetric domain into the infinite dimensional complex projective space in terms of the Wallach set of the domain. In the second one we exhibit an example of complete and nonhomogeneous Kähler-Einstein metric with negative scalar curvature which admits a Kähler immersion into the infinite di...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2006