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MOTIVICITY OF THE MIXED HODGE STRUCTURE OF SOME DEGENERATIONS OF CURVES
- Authors
- Chae, Hi-joon; Jun, Byungheup
- Issue Date
- May-2010
- Publisher
- KOREAN MATHEMATICAL SOC
- Keywords
- variation of mixed Hodge structure
- Citation
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.47, no.3, pp.593 - 610
- Journal Title
- BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
- Volume
- 47
- Number
- 3
- Start Page
- 593
- End Page
- 610
- ISSN
- 1015-8634
- Abstract
- We consider a degeneration of genus 2 curves, which is opposite to maximal degeneration in a sense. Such a degeneration of curves yields a variation of mixed Hodge structure with monodromy weight filtration. The mixed Hodge structure at each fibre, which is different from the limit mixed Hodge structure of Schmid and Steenbrink, can be realized as H(1) of a noncompact singular elliptic curve. We also prove that the pull back of the above variation of mixed Hodge structure to a double cover of the base space comes from a family of noncompact singular elliptic curves.
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Related Researcher
- Chae, Hi joon
- Education (Mathematics Education)