eBook ISBN:  9780821877142 
Product Code:  CONM/126.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821877142 
Product Code:  CONM/126.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 126; 1992; 230 ppMSC: Primary 13; 14; 19
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

Articles

M. Boratyński — On the curves of contact on surfaces in a projective space [ MR 1156498 ]

Luca Chiantini — Plane sections of curves of low genus [ MR 1156499 ]

Caterina Consani — A movinglemma for a singular variety and applications to the Grothendieck group $K_0(X)$ [ MR 1156500 ]

Kevin R. Coombes — The $K$cohomology of Enriques surfaces [ MR 1156501 ]

Ofer Gabber — $K$theory of Henselian local rings and Henselian pairs [ MR 1156502 ]

Jürgen Hurrelbrink, Jun Morita and Ulf Rehmann — On the homological $\pi _0$ of KacMoody groups over fields [ MR 1156503 ]

Bruno Kahn — The decomposable part of motivic cohomology and bijectivity of the norm residue homomorphism [ MR 1156504 ]

Steven E. Landsburg — On the spectral sequence for relative $K$theory [ MR 1156505 ]

Reinhard C. Laubenbacher and David L. Webb — $G_0$ of integral group rings for groups with cyclic Sylow subgroups [ MR 1156506 ]

Marc Levine — DeligneBeĭlinson cohomology for singular varieties [ MR 1156507 ]

Marcin Mazur and Jerzy Urbanowicz — A note on $K_2$ of the rings of integers of totally real number fields [ MR 1156508 ]

Les Reid and Leslie G. Roberts — Intersection points of seminormal configurations of lines [ MR 1156509 ]

Clayton Sherman — Group representations and algebraic $K$theory. II [ MR 1156510 ]

Jerzy Urbanowicz — Remarks on the Stickelberger ideals of order $2$ [ MR 1156511 ]

L. N. Vaserstein — Unstable $K_1$theory of topological spaces is nilpotent [ MR 1156512 ]

Luca Barbieri Viale — Cohomology theories and algebraic cycles on singular varieties [ MR 1156513 ]

Charles Weibel and Dongyuan Yao — Localization for the $K$theory of noncommutative rings [ MR 1156514 ]


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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.

Articles

M. Boratyński — On the curves of contact on surfaces in a projective space [ MR 1156498 ]

Luca Chiantini — Plane sections of curves of low genus [ MR 1156499 ]

Caterina Consani — A movinglemma for a singular variety and applications to the Grothendieck group $K_0(X)$ [ MR 1156500 ]

Kevin R. Coombes — The $K$cohomology of Enriques surfaces [ MR 1156501 ]

Ofer Gabber — $K$theory of Henselian local rings and Henselian pairs [ MR 1156502 ]

Jürgen Hurrelbrink, Jun Morita and Ulf Rehmann — On the homological $\pi _0$ of KacMoody groups over fields [ MR 1156503 ]

Bruno Kahn — The decomposable part of motivic cohomology and bijectivity of the norm residue homomorphism [ MR 1156504 ]

Steven E. Landsburg — On the spectral sequence for relative $K$theory [ MR 1156505 ]

Reinhard C. Laubenbacher and David L. Webb — $G_0$ of integral group rings for groups with cyclic Sylow subgroups [ MR 1156506 ]

Marc Levine — DeligneBeĭlinson cohomology for singular varieties [ MR 1156507 ]

Marcin Mazur and Jerzy Urbanowicz — A note on $K_2$ of the rings of integers of totally real number fields [ MR 1156508 ]

Les Reid and Leslie G. Roberts — Intersection points of seminormal configurations of lines [ MR 1156509 ]

Clayton Sherman — Group representations and algebraic $K$theory. II [ MR 1156510 ]

Jerzy Urbanowicz — Remarks on the Stickelberger ideals of order $2$ [ MR 1156511 ]

L. N. Vaserstein — Unstable $K_1$theory of topological spaces is nilpotent [ MR 1156512 ]

Luca Barbieri Viale — Cohomology theories and algebraic cycles on singular varieties [ MR 1156513 ]

Charles Weibel and Dongyuan Yao — Localization for the $K$theory of noncommutative rings [ MR 1156514 ]