Vector bundles on a three-dimensional neighborhood of a ruled surface
نویسندگان
چکیده
منابع مشابه
1 2 M ay 2 00 4 Vector bundles on a three dimensional neighborhood of a ruled surface
Let S be a ruled surface inside a smooth threefold W and let E be a vector bundle on a formal neighborhood of S. We find minimal conditions under which the local moduli space of E is finite dimensional and smooth. Moreover, we show that E is a flat limit of a flat family of vector bundles whose general element we describe explicitly.
متن کاملVector bundles on a neighborhood of a ruled surface in a threefold
Let S be a ruled surface inside a smooth 3-fold W. Choose a neighborhood V of S in W and let Ŝ be the formal completion of S in V. Let E be a vector bundle over Ŝ. We show that (under suitable conditions) the local deformation space of E is finite dimensional and smooth. Moreover, we show that E is a flat limit of a flat family of vector bundles whose general element we describe explicitly.
متن کاملTheorem B . 2 Vector bundles on a neighborhood of a Hirze - bruch surface
Let S be a ruled surface inside a smooth 3-fold W. Choose a neighborhood V of S in W and let Ŝ be the formal completion of S in V. Let E be a vector bundle over Ŝ. We show that (under suitable conditions) the local deformation space of E is finite dimensional and smooth. Moreover, we show that E is a flat limit of a flat family of vector bundles whose general element we describe explicitly.
متن کاملVector Bundles on a K3 Surface
A K3 surface is a quaternionic analogue of an elliptic curve from a view point of moduli of vector bundles. We can prove the algebraicity of certain Hodge cycles and a rigidity of curve of genus eleven and gives two kind of descriptions of Fano threefolds as applications. In the final section we discuss a simplified construction of moduli spaces. 2000 Mathematics Subject Classification: 14J10, ...
متن کاملHolomorphic Vector Bundles on Ruled Surfaces and Their Blowing Ups
This work is motivated by the general interest in moduli spaces of based SU(r)instantons on S and on the connected sum of complex projective planes, which can be interpreted as moduli spaces of framed holomorphic vector bundles on blown up ruled surfaces. To be precise, we consider moduli of based SU(r)-instantons over all self-dual four dimensional manifolds, where the twistor bration contains...
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: 2005
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2004.05.007