| Prof V Balaji |
Publications |
V.BALAJI, PABITRA BARIK & D.S. NAGARAJ, A Degeneration of the moduli space of Hitchin pairs, 2013. (math arXiv:1308.4490).
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 & C.S.SESHADRI, Moduli of parahoric G-torsors on a compact Riemann surface, Journal of Algebraic Geometry, 24, 2015, pp 1-49.
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, Addendum to Principal bundles on projective varieties and the Donaldson-Uhlenbeck compactification, Journal Differential Geometry, 83-2, 2009, pp 461-463.
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, 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, I.BISWAS & D.S.NAGARAJ, Principal bundles with parabolic structures, Electronic Research Announcements of the A.M.S, 7, April 2001, pp 37-44.
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., 17-3, 2002, pp 187-209.
V.BALAJI, I.BISWAS & 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., 130-2, 2001, pp 269-280.
V.BALAJI, I.BISWAS & D.S.NAGARAJ, Principal bundles over projective manifolds with parabolic structure over a divisor, Tohoku Math. Jour, 53, 2001, pp 337?368.
V. BALAJI, A. KING & P.E. NEWSTEAD, Algebraic cohomology of the moduli space of rank two bundles, Topology, 36-2, 1997, pp 567-577.
V. BALAJI, L. BRAMBILA-PAZ & P.E. NEWSTEAD, Stability of the Poincar?e bundle, Math Nachrichten, 188, 1997, pp 5-15.
V. BALAJI, Hodge conjecture for certain moduli varieties, Proc. of the Indian Acad. of Sciences, 105-4, 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, 76-3, 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., 115-2, 1993, pp 279-303.
V. BALAJI, Cohomology of some moduli spaces of vector bundles , In the Proceedings of the Indo-French Conference in Geometry held in TIFR, 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., 112, 1990, pp 611-630.
V. BALAJI, Cohomology of certain moduli spaces of vector bundles, Proc. Ind. Acad. Sci. (Math. Sci), 98, 1988, pp 1-24.
V.BALAJI, Collected papers of C S Seshadri (2012). For a revised version of his paper on pi-bundles, click here.
V.BALAJI, The work of C.S.Seshadri - Tribute to C.S.Seshadri, Birkhauser, 2003.