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Studies of fibred complex surfaces from diversified perspectives

Description: Smooth projective algebraic surfaces with a fibration over a smooth projective curve are studied through the local analytic or topological invariants such as Horikawa index and local signature. We gave an explicit formula for them for non-hyperelliptic genus 3 fibrations. Also we studied plane curve arrangements through multiple sections of relative Jacobian varieties (of small genus) and produced new examples of Zariski pairs.

Funder: Japan Society for the Promotion of Science

Amount: ¥22,360,000

Funding type: research

Funder scheme: Grant-in-Aid for Scientific Research (A)

Start date: 2012-05-31

End date: 2017-03-31

Investigator: Kazuhiro Konno

Institution: Osaka University

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences