Singular hermitian metrics on vector bundles
نویسندگان
چکیده
منابع مشابه
Canonical singular hermitian metrics on relative canonical bundles
We introduce a new class of canonical AZD’s (called the supercanonical AZD’s) on the canonical bundles of smooth projective varieties with pseudoeffective canonical classes. We study the variation of the supercanonical AZD ĥcan under projective deformations and give a new proof of the invariance of plurigenera. This paper is a continuation of [Ts5]. MSC: 14J15,14J40, 32J18
متن کاملHermitian-einstein Metrics for Vector Bundles on Complete Kähler Manifolds
In this paper, we prove the existence of Hermitian-Einstein metrics for holomorphic vector bundles on a class of complete Kähler manifolds which include Hermitian symmetric spaces of noncompact type without Euclidean factor, strictly pseudoconvex domains with Bergman metrics and the universal cover of Gromov hyperbolic manifolds etc. We also solve the Dirichlet problem at infinity for the Hermi...
متن کاملCanonical metrics on stable vector bundles
The problem of constructing moduli space of vector bundles over a projective manifold has attracted many mathematicians for decades. In mid 60’s Mumford first constructed the moduli space of vector bundles over algebraic curves via his celebrated GIT machinery. Later, in early 80’s Atiyah and Bott found an infinite dimensional symplectic quotient description of this moduli space. Since then, we...
متن کاملDeformation Quantization of Hermitian Vector Bundles
Motivated by deformation quantization, we consider in this paper -algebras A over rings C = R(i), where R is an ordered ring and i = −1, and study the deformation theory of projective modules over these algebras carrying the additional structure of a (positive) A-valued inner product. For A = C(M), M a manifold, these modules can be identified with Hermitian vector bundles E overM . We show tha...
متن کاملGeneralized bc-systems based on Hermitian vector bundles
A generalized bc-system associated to a Hermitian vector bundle over a Riemann surface is introduced in close analogy to the usual rank one case. Some of the geometric analogies to the well-known case are studied. In particular, if there are no zero-modes, the \nonabelian" theta divisor appears. In the general case where zero-modes exist, it seems to be more diicult to nd a natural description....
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 für die reine und angewandte Mathematik (Crelles Journal)
سال: 1998
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crll.1998.091