Some moduli stacks of symplectic bundles on a curve are rational

Advances in Mathematics - Tập 219 - Trang 1150-1176 - 2008
Indranil Biswas1, Norbert Hoffmann2
1School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400005, India
2Mathematisches Institut der Georg-August-Universität, Bunsenstraße 3–5, 37073 Göttingen, Germany

Tài liệu tham khảo

Gomez, 2008, Moduli spaces for principal bundles in arbitrary characteristic, Adv. Math., 10.1016/j.aim.2008.05.015 Grothendieck, 1961, EGA III: Étude cohomologique des faisceaux cohérents, Publ. Math. Inst. Hautes Études Sci., 11 Grothendieck, 1972, SGA IV: Théorie des topos et cohomologie étale des schémas, vols. 269, 270, 305 Hoffmann, 2007, Rationality and Poincaré families for vector bundles with extra structure on a curve, Int. Math. Res. Not., 2007 King, 1999, Rationality of moduli of vector bundles on curves, Indag. Math. (N.S.), 10, 519, 10.1016/S0019-3577(00)87905-7 Newstead, 1975, Rationality of moduli spaces of stable bundles, Math. Ann., 215, 251, 10.1007/BF01343893 Ramanathan, 1996, Moduli for principal bundles over algebraic curves, Proc. Indian Acad. Sci. Math. Sci., 106, 301, 10.1007/BF02867438