List of Publications

Research Publications

  1. On the canonical ring of a curve (with S.Ramanan), in Algebraic Geometry and Commutative Algebra in honour of M. Nagata (1987) pp503-516. Also available in PNG DjVu.
  2. Abelian varieties associated with certain K3 surfaces, Compositio Math. 68 (1988) pp11-22. Also available in PNG DjVu.
  3. Self maps of Homogeneous spaces (with V.Srinivas), Inventiones Math. 98 (1989) pp425-444.
  4. Continuous self maps of Quadric Hypersurfaces (with V. Srinivas), Proc. of Indo-French conference on Geometry, Bombay, India (1989) pp135-148, NBHM, 1993. Also available in HTML DVI PDF
  5. Appendix to Remarks on the Topology of Surface singularities and Applications by R. V. Gurjar, Proc. of Indo-French conference on Geometry, Bombay, India (1989) pp100-101, NBHM, 1993.
  6. Riemann Surfaces and the Iso-spectral problem, Current Science 63(5) (1992) pp233-239.
  7. Unirationality of the general Complete Intersection of sufficiently small multidegree (with V. Srinivas), in Flips and Abundance of Algebraic Threefolds, (ed. J. Kollár), Proc. of Summer Seminar at University of Utah, Salt Lake City, U.S.A. (1991), Asterisque 221 pp241-248, 1992.
  8. Curves on threefolds with trivial canonical bundle, Proc. Indian Acad. Sci. (Math) 101 (1991) pp199-213.
  9. On a Conjecture on Canonical curves (with K. Hulek and S. Ramanan), J. of Alg. Geom. 1 (1992) pp335-359.
  10. Cohomological and Cycle-theoretic Connectivity, Annals of Math. 140 (1994) pp641-660.
  11. Absolute de Rham and Absolute Hodge (with H. Esnault), CR Acad. Sci. Paris 319 (1994) pp67-72. Also available in HTML DVI PDF
  12. Some Spectral Sequences and Applications, J. of Algebra 186 (1996) pp793-806. Also available in HTML DVI PDF
  13. Survey of Algebraic Cycles (with V. Srinivas), in Proceedings of a Conference in Honour of Harish-Chandra, 1992, MRI, Allahabad, India. Also available in HTML DVI PDF
  14. Bogomolov-Pantev resolution--an expository account, in New Trends in Algebraic Geometry (ed. K. Hulek, F. Catanese, C. Peters, M. Reid), Proceedings of the European Algebraic Geometry Conference, Warwick, UK 1996; published by Cambridge University Press, 1999.
  15. Axiomatic and Coordinate geometry, in Analysis, Geometry and Probability, Essays in honour of K. R. Parthasarathy, (ed. Rajendra Bhatia), Texts and Readings in Mathematics, Volume 10, Hindustan Book Agency, New Delhi. Also available in HTML DVI PDF
  16. Seiberg-Witten invariants--an expository account (with V. Pati), Proc. Indian Acad. Sci. (Math) 109 (1999) pp257-270.
  17. Higher Abel-Jacobi Maps (with J. Biswas, G. Dayal, G. V. Ravindra) (in NBHM Volume).
  18. Cycles over fields of transcendence degree one (with M. Green and P. A. Griffiths), Michigan Mathematical Journal 52 (2004) (to appear).
  19. The Hodge Conjecture for a general Prym variety (with I. Biswas), Journal of Algebraic Geometry 11 (2002) pp33-39.
  20. A Geometric characterization of Arithmetic Varieties, Proc. Indian Acad. Sci. (Math) 112 (2002) pp1-9.

Expository publications

  1. On (Kummer's approach to) Fermat's last theorem, Bona Mathematica, 1994. Also available in HTML DVI PDF
  2. The Work of Efim Zelmanov, Bona Mathematica, 1995. Also available in HTML DVI PDF
  3. Geometry (a series of six articles), Resonance, 1996.
  4. Are all matrices Diagonalisable?, Resonance, 1997. Also available in HTML DVI PDF
  5. How to Make a Stereogram with GIMP, Blender and Stereograph, Linux Gazette 104
  6. A Knight's Tour on Ocaml (when a Python fails to digest it), Linux Gazette 110

Kapil H. Paranjape