Geodesic
Determinant of the Laplacian on Tori of Constant Positive Curvature with one Conical Point
Canadian mathematical bulletin, Tome 62 (2019) no. 2, pp. 341-347

Voir la notice de l'article provenant de la source Cambridge University Press

We find an explicit expression for the zeta-regularized determinant of (the Friedrichs extensions of) the Laplacians on a compact Riemann surface of genus one with conformal metric of curvature $1$ having a single conical singularity of angle $4\unicode[STIX]{x1D70B}$.
DOI : 10.4153/CMB-2018-036-9
Mots-clés : determinant of Laplacian, moduli space, spectral zeta-function, curvature one, conical point, conical singularity, Riemann surface, compact Riemann surface 
Kalvin, Victor; Kokotov, Alexey. Determinant of the Laplacian on Tori of Constant Positive Curvature with one Conical Point. Canadian mathematical bulletin, Tome 62 (2019) no. 2, pp. 341-347. doi: 10.4153/CMB-2018-036-9
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     title = {Determinant of the {Laplacian} on {Tori} of {Constant} {Positive} {Curvature} with one {Conical} {Point}},
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     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2018-036-9/}
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