Variations of Mixed Hodge Structure and Semipositivity Theorems

By O. Fujino, T. Fujisawa. 2012

63 citations recorded by the source corpus.

We discuss the variations of mixed Hodge structure for cohomology with compact support of quasi-projective simple normal crossing pairs. We show that they are graded polarizable admissible variations of mixed Hodge structure. Then we prove a generalization of the Fujita–Kawamata semi-positivity theorem.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/fb1bd3a694f874aff5068fbef932c70fd2f113f8

How researchers see this paper

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In Geometry and Topology

1. O. Fujino
2. Christopher D. Hacon
3. C. Birkar
4. Chenyang Xu
5. Stefano Filipazzi
6. F. Catanese
7. Ingrid Bauer
8. Shin-ichi Matsumura

In Mathematical Physics

1. O. Fujino
2. Christopher D. Hacon
3. Chenyang Xu
4. Stefano Filipazzi
5. Florin Ambro
6. Gianluca Pacienza

Citations in the corpus

• Semipositivity theorems for moduli problems (2012, methodology): “Note that [Fn14] and [FF14] heavily depend on the theory of mixed Hodge structures on cohomology with compact support.”