Petri map for vector bundles near good bundles
نویسندگان
چکیده
منابع مشابه
Locally trivial quantum vector bundles and associated vector bundles
We define locally trivial quantum vector bundles (QVB) and construct such QVB associated to locally trivial quantum principal fibre bundles. The construction is quite analogous to the classical construction of associated bundles. A covering of such bundles is induced from the covering of the subalgebra of coinvariant elements of the principal bundle. There exists a differential structure on the...
متن کاملConditions for Nonnegative Curvature on Vector Bundles and Sphere Bundles
This paper addresses Cheeger and Gromoll’s question of which vector bundles admit a complete metric of nonnegative curvature, and relates their question to the issue of which sphere bundles admit a metric of positive curvature. We show that any vector bundle which admits a metric of nonnegative curvature must admit a connection, a tensor, and a metric on the base space which together satisfy a ...
متن کاملHomogeneous Vector Bundles
1. Root Space Decompositions 2 2. Weights 5 3. Weyl Group 8 4. Irreducible Representations 11 5. Basic Concepts of Vector Bundles 13 6. Line Bundles 17 7. Curvature 20 7.1. Curvature of tangent bundles 22 7.2. Curvature of line bundles 24 7.3. Levi curvature 25 8. Ampleness Formulas 27 8.1. Ampleness of irreducible bundles 28 8.2. Ampleness of tangent bundles 29 9. Chern Classes 32 9.1. Chern c...
متن کاملVector Bundles with Sections
Classical Brill-Noether theory studies, for given g, r, d, the space of line bundles of degree d with r + 1 global sections on a curve of genus g. After reviewing the main results in this theory, and the role of degeneration techniques in proving them, we will discuss the situation for higher-rank vector bundles, where even the most basic questions remain wide open. Focusing on the case of rank...
متن کاملRaynaud vector bundles
We construct vector bundles Rrk μ on a smooth projective curve X having the property that for all sheaves E of slope μ and rank rk on X we have an equivalence: E is a semistable vector bundle ⇐⇒ Hom(Rrk μ , E) = 0. As a byproduct of our construction we obtain effective bounds on r such that the linear system |R ·Θ| has base points on UX(r, r(g − 1)).
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: 2018
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2017.07.018