The Picard group of a coarse moduli space of vector bundles in positive characteristic
Open Mathematics (2012)
- Volume: 10, Issue: 4, page 1306-1313
- ISSN: 2391-5455
Access Full Article
topAbstract
topHow to cite
topReferences
top- [1] Beauville A., Laszlo Y., Conformal blocks and generalized theta functions, Commun. Math. Phys., 1994, 164(2), 385–419 http://dx.doi.org/10.1007/BF02101707 Zbl0815.14015
- [2] Bhosle U.N., Moduli of vector bundles in characteristic 2, Math. Nachr., 2003, 254/255, 11–26 http://dx.doi.org/10.1002/mana.200310049 Zbl1056.14044
- [3] Biswas I., Hoffmann N., The line bundles on moduli stacks of principal bundles on a curve, Doc. Math., 2010, 15, 35–72 Zbl1193.14009
- [4] Biswas I., Hoffmann N., Poincaré families of G-bundles on a curve, Math. Ann., 2012, 352(1), 133–154 http://dx.doi.org/10.1007/s00208-010-0628-x Zbl1253.14012
- [5] Drezet J.-M., Narasimhan M.S., Groupe de Picard des variétés de modules de fibrés semi-stable sur les courbes algébriques, Invent. Math., 1989, 97(1), 53–94 http://dx.doi.org/10.1007/BF01850655 Zbl0689.14012
- [6] Faltings G., Stable G-bundles and projective connections, J. Algebraic Geom., 1993, 2(3), 507–568 Zbl0790.14019
- [7] Faltings G., Algebraic loop groups and moduli spaces of bundles, J. Eur. Math. Soc. (JEMS), 2003, 5(1), 41–68 http://dx.doi.org/10.1007/s10097-002-0045-x Zbl1020.14002
- [8] Grothendieck A., Éléments de Géométrie Algébrique. III. Étude Cohomologique des Faisceaux Cohérents. I, II, Inst. Hautes Études Sci. Publ. Math., 11, 17, Presses Universitaires de France, Paris, 1961, 1963
- [9] Hoffmann N., Moduli stacks of vector bundles on curves and the King-Schofield rationality proof, In: Cohomological and Geometric Approaches to Rationality Problems, Progr. Math., 282, Birkhäuser, Boston, 2010, 133–148 http://dx.doi.org/10.1007/978-0-8176-4934-0_5 Zbl1203.14038
- [10] Huybrechts D., Lehn M., The Geometry of Moduli Spaces of Sheaves, 2nd ed., Cambridge Math. Lib., Cambridge University Press, Cambridge, 2010 http://dx.doi.org/10.1017/CBO9780511711985 Zbl1206.14027
- [11] Joshi K., Mehta V.B., On the Picard group of moduli spaces, preprint available at http://arxiv.org/abs/1005.3007
- [12] Knudsen F.F., Mumford D., The projectivity of the moduli space of stable curves. I. Preliminaries on “det” and “Div”, Math. Scand., 1976, 39(1), 19–55 Zbl0343.14008
- [13] Mumford D., Fogarty J., Kirwan F., Geometric Invariant Theory, 3rd ed., Ergeb. Math. Grenzgeb., 34, Springer, Berlin, 1994 http://dx.doi.org/10.1007/978-3-642-57916-5 Zbl0797.14004
- [14] Narasimhan M.S., Ramanan S., Moduli of vector bundles on a compact Riemann surface, Ann. Math., 1969, 89, 14–51 http://dx.doi.org/10.2307/1970807 Zbl0186.54902
- [15] Osserman B., The generalized Verschiebung map for curves of genus 2, Math. Ann., 2006, 336(4), 963–986 http://dx.doi.org/10.1007/s00208-006-0026-6 Zbl1111.14031
- [16] Seshadri C.S., Fibrés Vectoriels sur les Courbes Algébriques, Astérisque, 96, Société Mathématique de France, Paris, 1982 Zbl0517.14008
- [17] Seshadri C.S., Vector bundles on curves, In: Linear Algebraic Groups and their Representations, Los Angeles, March 25–28, 1992, Contemp. Math., 153, American Mathematical Society, Providence, 1993, 163–200 http://dx.doi.org/10.1090/conm/153/01312 Zbl0799.14013
- [18] Venkata Balaji T.E., Mehta V.B., Singularities of moduli spaces of vector bundles over curves in characteristic 0 and p, Michigan Math. J., 2008, 57, 37–42 http://dx.doi.org/10.1307/mmj/1220879395 Zbl1181.14037