| Prof V Balaji |
Publications |
V. BALAJI, On the desingularisation of moduli of principal bundles, (2024) (http://arxiv.org/abs/2407.18079).
V.BALAJI, Y. PANDEY, On Bruhat-Tits theory over a higher dimensional base, Volume 8 (2024), Article No. 14, \'Epijournal de G\'eom\'etrie Alg\'ebrique, epiga.episciences.org, 2024) (http://arxiv.org/abs/2203.09431) (64 pages).
V.BALAJI, Y. PANDEY, On irreducible representations of Fuchsian groups, Canad. Math. Bull, 2024, pp. 1–21 http://dx.doi.org/10.4153/S0008439524000389.
V. BALAJI, Torsors on semistable curves and degenerations, Proceedings of the Indian Academy of Sciences, Mathematical Sciences, 132, Article number: 27 (2022).
V. BALAJI, I. BISWAS, Y. PANDEY, Connections on parahoric torsors over curves, RIMS Journal, Kyoto University 53 - 4, 2017, pp. 551-585, (archiv:1702.0362)
V. BALAJI, P.DELIGNE, A.J. PARAMESWARAN, On complete reducibility in characteristic p, Épijournal de Géométrie Algébrique, epiga.episciences.org, 1,2017, Article Nr. 3, (arXiv:1607.08564) (27 pages)
V. BALAJI, PABITRA BARIK & D.S. NAGARAJ, A Degeneration of the moduli space of Hitchin pairs, 2016, International Mathematics Research Notices (IMRN),2016-21, pp 6581-6625
V. BALAJI, C.S.SESHADRI, Moduli of parahoric G–torsors on a compact Riemann surface, Journal of Algebraic Geometry, 2015, 24, pp 1-49
V. BALAJI, PABITRA BARIK & D.S. NAGARAJ, On Degenerations of moduli of Hitchin Pairs, Electronic Research Announcements, AIMS, 20, 2013, pp 105-110.
V. BALAJI & J.KOLLAR, Restrictions of stable bundles, Contemporary Mathematics, Amer. Math. Soc., Providence, RI, 2012, 564.
V. BALAJI & A.J. PARAMESWARAN, Tensor product theorem for Hitchin pairs - An algebraic approach, Annales de l`Institut Fourier 61, 2011, pp 2361-2403.
V. BALAJI & A.J. PARAMESWARAN, An analogue of the Narasimhan - Seshadri Theorem in higher dimensions and some applications, Journal of Topology, 4, 2011, pp 105-140. (archiv:math.AG 0809.3765)
V. BALAJI & A.DEY, Parabolic bundles on algebraic surfaces II - Irreducibility of the moduli space, Vector Bundles and Complex Geometry, Contemporary Mathematics, Amer. Math. Soc., Providence, RI, 522, 2010, pp. 7-22.
V. BALAJI & I. BISWAS, Principal bundles on abelian varieties with vanishing Chern classes, Journal Ramanujan Math Soc., 24-2, June 2009, pp 191-197.
V. BALAJI, Lectures on Principal Bundles, Moduli Spaces and Vector Bundles, London Mathematical Society Lecture Notes, 359, July 2009.
V. BALAJI & J.KOLLAR, Holonomy groups of stable vector bundles, RIMS Journal, Kyoto University 44-2, May 2008, pp 183-211. (archiv:math.AG/06001120)
V. BALAJI, A.DEY & R.PARTHASARTHI, Geometry of parabolic bundles on surfaces-I, (The Donaldson-Uhlenbeck compactification), Proceedings of the Indian Academy of Sciences, 118-1, February 2008, pp 43-79. (archiv:math.AG/06001274)
V. BALAJI, I.BISWAS O.GABBER & D.S.NAGARAJ, Brauer Obstruction for a universal vector bundle, C. R. Math. Acad. Sci. Paris, 345-5, 2007, pp 265-268.
V. BALAJI, Addendum to Principal bundles on projective varieties and the Donaldson-Uhlenbeck compactification, Journal Differential Geometry, 83-2, 2009, pp 461-463.
V. BALAJI, Principal bundles on projective varieties and the Donaldson-Uhlenbeck compactification, Journal Differential Geometry 76, 2007, pp 351-398. (arXiv:math.AG/0505106)
V. BALAJI, I. BISWAS, D.S NAGARAJ, & A.J. PARAMESWARAN, Krull-Schmidt reduction of principal bundles in arbitrary characteristic. Expo. Math, 24-3, 2006, pp 281-289.
V. BALAJI, I.BISWAS & D.S.NAGARAJ, Tannakian Krull-Schmidt reduction, J. Reine. Angew. Math, 590, 2006, pp 227-230.
V. BALAJI, I.BISWAS, D.S.NAGARAJ & P.E.NEWSTEAD, Universal Families on Moduli Spaces of Principal Bundles on Curves, Int. Math. Res. Not., 80641, vol 2, 2006, 16 pp. (arXiv:math.AG/0601168)
V. BALAJI, I.BISWAS & D.S.NAGARAJ, Krull-Schmidt reduction for principal bundles, J. Reine. Angew. Math, 578, 2005, pp 225-234.
V. BALAJI, S.KANNAN & K.V.SUBRAMANIAM, Cohomology of Line Bundles on Schubert Varieties-I, Transformation Groups, 9-2, 2004, pp 105-131.
V. BALAJI, I.BISWAS & D.S.NAGARAJ, Ramified G-bundles as parabolic bundles, Jour. Ramanujan Math Society, 18 - 2, 2003, pp 123-138.
V. BALAJI & A.J.PARAMESWARAN, Semistable principal bundles-II, Transformation Groups, 8-1, 2003, pp 3-36.
V. BALAJI, The work of C.S.Seshadri - Tribute to C.S.Seshadri, Birkhauser, 2003.
V. BALAJI, C.S.SESHADRI, Semistable principal bundles-I, Journal of Algebra, 258 (2002), pp 321-347
V. BALAJI, I.BISWAS, Semistable principal bundles over abelian varieties and homogeneous spaces. Journal Ramanujan Math Soc., Vol 17, No 3, 2002) pp 187-209
V. BALAJI, I.BISWAS and SEBASTIAN DEL BANO ROLLIN, A Torelli type theorem for moduli space of parabolic vector bundles of rank two over curves. Math. Proc. Cambridge Philos. Soc., vol 130 (2001), no.2, pp.269-280
V. BALAJI, I.BISWAS and D.S.NAGARAJ, Principal bundles over projective manifolds with parabolic structure over a divisor. Tˆohuku Math. Jour. 53 (2001), 337–368
V. BALAJI, A. KING and P.E. NEWSTEAD, Algebraic cohomology of the moduli space of rank two bundles. Topology, Vol. 36, No. 2 (1997) pp. 567-577
V. BALAJI, L. BRAMBILA-PAZ and P.E. NEWSTEAD, Stability of the Poincaré bundle, Math Nachrichten, 188 (1997) pp. 5-15
V. BALAJI, Hodge conjecture for certain moduli varieties, Proc. of the Indian Acad. of Sciences, Vol. 105, No. 4 (1995) pp. 371-380
V. BALAJI, P.A. VISHWANATH, On the Theory of Deformations of the moduli Spaces of Vector Bundles ( in Proc. of the Durham symp. on Vector Bundles in Algebraic Geometry, Cambridge University Press, 1995)
V. BALAJI, P.A. VISHWANATH, Picard sheaves and deformations of stable pairs, Duke Math. Journal, (Vol. 76, No. 3, December 1994) pp 773-792
V. BALAJI, C.S. SESHADRI, Poincar ́e Polynomials of certain moduli varieties, Algebraic Geometry and Analytic Geometry, ICM-90 Satellite Conference Proceedings, Springer Verlag, (1991) pp. 1-25
V. BALAJI, P.A. VISHWANATH, Deformations of certain moduli spaces of vector bundles, Amer. Jour. Math., Vol. 115, No. 2 (1993) 279-303
V. BALAJI, Cohomology of some moduli spaces of vector bundles (in the Proceedings of the Indo-French Conference in Geometry, held in T.I.F.R., Bombay, 1989)
V. BALAJI, C.S. SESHADRI, Cohomology of a moduli space of vector bundles, The Grothendieck Festchrift Volume 1, Birkhauser, (1990) pp. 87-120
V. BALAJI, Intermediate jacobian of some moduli spaces of vector bundles on curves, Amer. J. Math., Vol. 112 (1990) pp.611-630
V. BALAJI, Cohomology of certain moduli spaces of vector bundles, Proc. Ind. Acad. Sci. (Math. Sci), Vol. 98 (1988) pp. 1-24