Twisted Kähler–Einstein metrics
نویسندگان
چکیده
منابع مشابه
Twisted balanced metrics
We introduce the notion of twisted balanced metrics. These metrics are induced from specific projective embeddings and can be understood as zeros of a certain moment map. We prove that on a polarized manifold, twisted constant scalar curvature metrics are limits of twisted balanced metrics, extending a result of S.K. Donaldson and T. Mabuchi. Let M be a smooth projective manifold of complex dim...
متن کاملDeformations of twisted cscK metrics
of the Dissertation Deformations of twisted cscK metrics
متن کاملTwisted cscK metrics and Kähler slope stability
We introduce a cohomological obstruction to solving the constant scalar curvature Kähler (cscK) equation twisted by a semipositive form, appearing in works of Fine and Song-Tian. Geometrically this gives an obstruction for a manifold to be the base of a holomorphic submersion carrying a cscK metric in certain “adiabatic” classes. In turn this produces many new examples of general type threefold...
متن کاملRemarks on the Extension of Twisted Hodge Metrics
1.1. Result in [MT3]. Our main concern is the positivity of direct image sheaves of adjoint bundles Rf∗(KX/Y ⊗ E), for a Kähler morphism f : X −→ Y endowed with a Nakano semi-positive holomorphic vector bundle (E, h) on X. In our previous paper [MT2], generalizing a result [B] in case q = 0, we obtained the Nakano semi-positivity of Rf∗(KX/Y ⊗E) with respect to the Hodge metric, under the assum...
متن کاملExtension of twisted Hodge metrics for Kähler morphisms
The subject in this paper is the positivity of direct image sheaves of adjoint bundles Rf∗(KX/Y ⊗ E), for a Kähler morphism f : X −→ Y endowed with a Nakano semipositive holomorphic vector bundle (E, h) onX. In our previous paper [MT2], generalizing a result [B] in case q = 0, we obtained the Nakano semi-positivity of Rf∗(KX/Y ⊗ E) with respect to a canonically attached metric, the so-called Ho...
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: Pure and Applied Mathematics Quarterly
سال: 2021
ISSN: ['1558-8599', '1558-8602']
DOI: https://doi.org/10.4310/pamq.2021.v17.n3.a8