Tata Institute of Fundamental Research 2002; 651 pp; hardcover ISBN10: 8173194769 ISBN13: 9788173194764 List Price: US$65 Member Price: US$52 Order Code: TIFR/5
 This volume contains papers by invited speakers at the International Colloquium on Algebra, Arithmetic and Geometry, held at the Tata Institute of Fundamental Research (Mumbai, India) in January 2000. The articles present the latest developments in a broad variety of topics from algebraic geometry, group theory, and \(K\)theory. It is suitable for graduate students and research mathematicians interested in those areas. A publication of the Tata Institute of Fundamental Research. Distributed worldwide except in India, Bangladesh, Bhutan, Maldavis, Nepal, Pakistan, and Sri Lanka. Readership Graduate students and research mathematicians interested in algebraic geometry, algebraic group theory, and algebraic \(K\)theory. Table of Contents Part I  S. S. Abhyankar  Symplectic groups and permutation polynomials
 L. L. Avramov and S. Iyengar  Homological criteria for regular homomorphisms and for locally complete intersection homomorphisms
 P. Barquero and A. Merkurjev  Norm principle for reductive algebraic groups
 S. M. Bhatwadekar and R. Sridharan  On Euler classes and stably free projective modules
 J. Biswas, G. Dayal, K. H. Paranjape, and G. V. Ravindra  Higher AbelJacobi maps
 S. Bloch and V. Srinivas  Enriched Hodge structures
 J.L. ColliotThélène, M. Ojanguren, and R. Parimala  Quadratic forms over fraction fields of twodimensional Henselian rings and Brauer groups of related schemes
 E. M. Friedlander and M. E. Walker  Semitopological \(K\)theory of real varieties
Part II  J. Herzog and E. Sbarra  Sequentially CohenMacaulay modules and local cohomology
 W. van der Kallen  From Mennicke symbols to Euler class groups
 M.A. Knus, R. Parimala, and R. Sridharan  On generic triality
 V. B. Mehta and S. Subramanian  On the HarderNarasimhan filtration of principal bundles
 V. B. Mehta and A. J. Parameswaran  Geometry of low height representations
 M. Miyanishi and K. Masuda  Generalized Jacobian conjecture and related topics
 N. M. Kumar  Construction of rank two vector bundles on projective spaces
 M. V. Nori  Constructible sheaves
 M. P. Murthy  Cancellation problem for projective modules over certain affine algebras
 V. L. Popov  Selfdual algebraic varieties and nilpotent orbits
 P. C. Roberts  Intersection multiplicities and dimension inequalities
 P. Russell  Some formal aspects of the theorems of MumfordRamanujam
 R. Sujatha  EulerPoincaré characteristics of \(p\)adic Lie groups and arithmetic
 A. Suslin  On the vanishing of \(H_3(SL_2(A,I), \mathbb{Z}/l)\)
