An explicit description of the relative $${SL_{4}(\mathbb{C})}$$ S L 4 ( C ) -character variety of the projective line
| Autor: | Arata Komyo |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Del Pezzo surface
General Mathematics 010102 general mathematics Mathematics::General Topology Algebraic geometry 01 natural sciences Character variety Algebra Mathematics::Algebraic Geometry Number theory Projective line 0103 physical sciences 010307 mathematical physics Compactification (mathematics) 0101 mathematics Hodge structure Mathematics |
| Zdroj: | Manuscripta Mathematica. 150:441-464 |
| ISSN: | 1432-1785 0025-2611 |
| DOI: | 10.1007/s00229-015-0808-9 |
| Popis: | In this paper, we give an explicit description of a certain character variety of dimension 2, and we construct a compactification of the character variety. We show that the compactification is a del Pezzo surface. One motivation of the explicit description is investigation of the mixed Hodge structure of the character variety. For the character variety, we can verify some conjectures on the mixed Hodge structures and the configurations of the boundaries of compactifications. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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