REVISITING THE MODULI SPACE OF SEMISTABLE G-BUNDLES OVER ELLIPTIC CURVES

Dragoș Fratila (1)

1 IRMA - Institut de Recherche Mathématique Avancée

We show that the moduli space of semistable G-bundles on an elliptic curve for a reductive group G is isomorphic to a power of the elliptic curve modulo a certain Weyl group which depend on the topological type of the bundle. This generalizes a result of Laszlo to arbitrary connected components and recovers the global description of the moduli space due to Friedman-Morgan-Witten and Schweigert. The proof is entirely in the realm of algebraic geometry and works in arbitrary characteristic.

Domaines: Géométrie algébrique [math.AG]

Dragoș Fratila. REVISITING THE MODULI SPACE OF SEMISTABLE G-BUNDLES OVER ELLIPTIC CURVES. Annales de l'Institut Fourier, 2021, 71 (2), pp.615-641. ⟨10.5802/aif.3405⟩. ⟨hal-01904421⟩