A TRANSCENDENTAL APPROACH TO KOLL AR'S INJECTIVITY THEOREM II

By O. Fujino. 2007

59 citations recorded by the source corpus.

We treat a relative version of the main theorem in (F1): A transcendental approach to Kollar's injectivity theorem. More explicitly, we give a curvature condition that implies Kollar type cohomology injectivity theorems in the relative setting. To carry out this generalization, we use the Ohsawa-Takegoshi twisted version of Nakano's identity.

Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/0fcaf807b35917325b40d243e1dc189a157e8d9f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Junyan Cao
2. Shin-ichi Matsumura
3. J. Demailly
4. Qi’an Guan
5. Xiangyu Zhou
6. Tam'as Darvas

In Geometry and Topology

1. Junyan Cao
2. Shin-ichi Matsumura
3. J. Demailly
4. Qi’an Guan
5. Xiangyu Zhou
6. Damian Brotbek
7. A. Höring
8. S. Boucksom

In Mathematical Physics

1. Junyan Cao
2. J. Demailly
3. Shin-ichi Matsumura
4. A. Höring
5. Qi’an Guan
6. Xiangyu Zhou
7. G'abor Sz'ekelyhidi
8. S. Boucksom

Citations in the corpus

• A general extension theorem for cohomology classes on non reduced analytic subspaces (2017, methodology): “(|s|2 b+c) γ≥ −εω on X. Now we check property (d) from the above curvature property. The function ηmay not be smooth on X, but it is smooth on X\ D. Therefore the same computation as in [Ohs04] and [Fuj13] works on X\D. In particular, from a complicated but straightforward computation, we obtain −i”