arXiv
Open Access
2013
Sur la théorie spectrale des métriques intégrables sur une surface de Riemann compacte
Mounir Hajli
Abstrak
We continue the study of the spectral theory associated to integrable metrics, started in our previous paper arXiv:1301.1793 [math.SP]. We introduce the notion of 1-integrable metric on line-bundles on a compact Riemann surface. We extend the spectral theory of generalized Laplacians to line-bundles equipped with 1-integrable metrics. As an application, we recover the following identity: [ζ'_{Δ_{\bar{\mathcal{O}(m)}_\infty}}(0)=T_g\bigl((\p^1,ω_\infty); \bar{\mathcal{O}(m)}_\infty \bigr),] obtained using direct computations in arXiv:1301.1792 [math.NT].
Penulis (1)
M
Mounir Hajli
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2013
- Bahasa
- en
- Sumber Database
- arXiv
- Akses
- Open Access ✓