التفاصيل البيبلوغرافية
| العنوان: |
Abel-Jacobi map and curvature of the pulled back metric. |
| المؤلفون: |
Biswas, Indranil |
| المصدر: |
Bulletin of Mathematical Sciences (World Scientific); Apr2021, Vol. 11 Issue 1, p1-7, 7p |
| مصطلحات موضوعية: |
JACOBI series, HYPERELLIPTIC integrals, RIEMANN surfaces, MATHEMATICAL models, MATHEMATICAL analysis |
| مستخلص: |
Let X be a compact connected Riemann surface of genus at least two. The Abel-Jacobi map ϕ: Symd(X)→Picd(X) is an embedding if d is less than the gonality of X. We investigate the curvature of the pull-back, by ϕ, of the flat metric on Picd(X). In particular, we show that when d = 1, the curvature is strictly negative everywhere if X is not hyperelliptic, and when X is hyperelliptic, the curvature is nonpositive with vanishing exactly on the points of X fixed by the hyperelliptic involution. [ABSTRACT FROM AUTHOR] |
|
Copyright of Bulletin of Mathematical Sciences (World Scientific) is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| قاعدة البيانات: |
Complementary Index |
Full Text Finder