期刊论文详细信息
Proceedings Mathematical Sciences | |
The Jacobian of a Nonorientable Klein Surface | |
Pablo Arés-Gastesi2  Indranil Biswas1  | |
[1] $$;School of Mathematics, Tata Institute of Fundamental Research, Mumbai 00 00, India$$ | |
关键词: Nonorientable surface; divisor; Jacobian; | |
DOI : | |
学科分类:数学(综合) | |
来源: Indian Academy of Sciences | |
【 摘 要 】
Using divisors, an analog of the Jacobian for a compact connected nonorientable Klein surface 𑌠is constructed. The Jacobian is identified with the dual of the space of all harmonic real one-forms on 𑌠quotiented by the torsion-free part of the first integral homology of ð‘Œ. Denote by ð‘‹ the double cover of 𑌠given by orientation. The Jacobian of 𑌠is identified with the space of all degree zero holomorphic line bundles ð¿ over ð‘‹ with the property that ð¿ is isomorphic to $ðœŽ^*overline{L}$, where 𜎠is the involution of ð‘‹.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912040506608ZK.pdf | 85KB | download |