Journal of the Ramanujan Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Parabolic Bundles in Positive Characteristic


Affiliations
1 Statistics and Mathematics Unit, Indian Statistical Institute, Bangalore 560 059, India
     

   Subscribe/Renew Journal


Algebraic parabolic bundles on smooth projective curves over algebraically closed field of positive characteristic is defined. It is shown that the category of algebraic parabolic bundles is equivalent to the category of orbifold bundles defined in [KP]. Tensor, dual, pullback and pushforward operations are also defined for parabolic bundles.
User
Subscription Login to verify subscription
Notifications
Font Size

  • [Bi] I. Biswas, Parabolic bundles as orbifold bundles, Duke Math. Jour., 88 (1997) 305–325.

  • [Ha] David Harbater, Patching and Galois theory, Galois groups and fundamental groups, Math. Sci. Res. Inst. Publ., Cambridge Univ. Press, Cambridge, 41 (2003) 313–424.

  • [KP] Manish Kumar and A. J. Parameswaran, Formal Orbifolds and Orbifold Bundles in Positive Characteristic, arXiv:1512.03235v1 [math.AG].

  • [MS] V. B. Mehta and C. S. Seshadri, Moduli of vector bundles on curves with parabolic structures, Math. Ann., 248 (1980) 205–239.

  • [No] Madhav Nori, The fundamental group scheme, Proc. Ind. Acad. Sci. (Math Sci.) 91 (1982) no. 2, 73–122.

  • [Serre] J. P. Serre, Local Fields, Translated from the French by Marvin Jay Greenberg, Graduate Texts in Mathematics, Vol. 67, Springer-Verlag, New York-Berlin (1979).


Abstract Views: 195

PDF Views: 1




  • Parabolic Bundles in Positive Characteristic

Abstract Views: 195  |  PDF Views: 1

Authors

Manish Kumar
Statistics and Mathematics Unit, Indian Statistical Institute, Bangalore 560 059, India
S. Majumder
Statistics and Mathematics Unit, Indian Statistical Institute, Bangalore 560 059, India

Abstract


Algebraic parabolic bundles on smooth projective curves over algebraically closed field of positive characteristic is defined. It is shown that the category of algebraic parabolic bundles is equivalent to the category of orbifold bundles defined in [KP]. Tensor, dual, pullback and pushforward operations are also defined for parabolic bundles.

References