Contemporary Mathematics 1992; 230 pp; softcover Volume: 126 ISBN10: 0821851306 ISBN13: 9780821851302 List Price: US$71 Member Price: US$56.80 Order Code: CONM/126
 In the mid1960s, several Italian mathematicians began to study the connections between classical arguments in commutative algebra and algebraic geometry, and the contemporaneous development of algebraic \(K\)theory in the U.S. These connections were exemplified by the work of AndreottiBombieri, Salmon, and Traverso on seminormality, and by BassMurthy on the Picard groups of polynomial rings. Interactions proceeded far beyond this initial point to encompass Chow groups of singular varieties, complete intersections, and applications of \(K\)theory to arithmetic and real geometry. This volume contains the proceedings from a U.S.Italy Joint Summer Seminar, which focused on this circle of ideas. The conference, held in June 1989 in Santa Margherita Ligure, Italy, was supported jointly by the Consiglio Nazionale delle Ricerche and the National Science Foundation. The book contains contributions from some of the leading experts in this area. Table of Contents  M. Boratynski  On the curves of contact on surfaces in a projective space
 L. Chiantini  Plane sections of curves of low genus
 C. Consani  A movinglemma for a singular variety and applications to the Grothendieck group \(K_0(X)\)
 K. R. Coombes  The \(K\)bcohomology of Enriques surfaces
 O. Gabber  \(K\)theory of Henselian local rings and Henselian pairs
 J. Hurrelbrink, J. Morita, and U. Rehmann  On the homological \(\pi_0\) of KacMoody groups over fields
 B. Kahn  The decomposable part of motivic cohomology and bijectivity of the norm residue homomorphism
 S. E. Landsburg  On the spectral sequence for relative \(K\)theory
 R. C. Laubenbacher and D. L. Webb  \(G_0\) of integral group rings for groups with cyclic Sylow subgroups
 M. Levine  DeligneBeilinson cohomology for singular varieties
 M. Mazur and J. Urbanowicz  A note on \(K_2\) of the rings of integers of totally real number fields
 L. Reid and L. G. Roberts  Intersection points of seminormal configurations of lines
 C. C. Sherman  Group representations and algebraic \(K\)theory: II
 J. Urbanowicz  Remarks on the Stickelberger ideals of order \(2\)
 L. N. Vaserstein  Unstable \(K_1\)theory of topological spaces is nilpotent
 L. Viale  Cohomology theories and algebraic cycles in singular varieties
 C. Weibel and D. Yao  Localization for the \(K\)theory of noncommutative rings
