Deformation theory of complex structures on solvmanifolds

2014 Fiscal Year Final Research Report

• Project/Area Number: 25887019
• Research Category: Grant-in-Aid for Research Activity Start-up
• Allocation Type: Single-year Grants
• Research Field: Geometry
• Research Institution: Tokyo Institute of Technology
• Principal Investigator: KASUYA Hisashi 東京工業大学, 理工学研究科, 助教 (80712611)
• Project Period (FY): 2013-08-30 – 2015-03-31
• Keywords: 可解多様体 / 変形理論 / Hodge理論 / 局所系

Outline of Final Research Achievements

We obtain many results on relations between geometry of solvmanifolds and deformations of complex structures. In particular, we obtain counterexamples for closedness of Hodge decomposition. Moreover, we obtain many results on the Hodge theory of local system cohomology. In view of Kahler geometry, these results are surprising. Non-Kahler geometry had not been studied very much. By these results, we can give interests in Non-Kahler geometry.

Free Research Field

複素幾何学