Projective structures on a Riemann surface
| dc.creator | Biswas, Indranil | |
| dc.creator | Raina, A. K. | |
| dc.date | 1996-07-24 | |
| dc.date.accessioned | 2026-07-07T09:06:54Z | |
| dc.date.available | 2026-07-07T09:06:54Z | |
| dc.description | For a compact Riemann surface $X$ of any genus $g$, let $L$denote the line bundle $K_{X\times X}\otimes {\cal O}_{X\times X}(2Δ)$ on $X\times X$, where $K_{X\times X}$ is the canonical bundle of $X\times X$ and $Δ$ is the diagonal divisor. We show that $L$ has a canonical trivialisation over the nonreduced divisor $2Δ$. Our main result is that the space of projective structures on $X$ is canonically identified with the space of all trivialisations of $L$ over $3Δ$ which restrict to the canonical trivialisation of $L$ over $2Δ$ mentioned above. We give a direct identification of this definition of a projective structure with a definition of Deligne.We also describe briefly the origin of this work in the study of the so-called "Sugawara form" of the energy-momentum tensor in a conformal quantum field theory. | |
| dc.description | Plain LATEX file, to appear in Int. Math. Res. Not | |
| dc.identifier | https://arxiv.org/abs/alg-geom/9607026 | |
| dc.identifier | http://arxiv.org/abs/alg-geom/9607026 | |
| dc.identifier | Int.Math.Res.Not. 15 (1996) 753 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/150180 | |
| dc.subject | Algebraic Geometry | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Quantum Algebra | |
| dc.title | Projective structures on a Riemann surface | |
| dc.type | text |