eBook ISBN:  9780821878316 
Product Code:  CONM/241.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821878316 
Product Code:  CONM/241.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

Book DetailsContemporary MathematicsVolume: 241; 1999; 369 ppMSC: Primary 00; 11; 14
This book presents the proceedings from the conference on algebraic geometry in honor of Professor Friedrich Hirzebruch's 70th Birthday. The event was held at the Stefan Banach International Mathematical Center in Warsaw (Poland). Topics covered in the book include intersection theory, singularities, lowdimensional manifolds, moduli spaces, number theory, and interactions between mathematical physics and geometry. Also included are articles from notes of two special lectures. The first, by Professor M. Atiyah, describes the important contributions to the field of geometry by Professor Hirzebruch. The second article contains notes from the talk delivered at the conference by Professor Hirzebruch. Contributors to the volume are leading researchers in the field.
ReadershipGraduate students and research mathematicians interested in algebraic geometry; physicists.

Table of Contents

Articles

Michael Atiyah — Physics and geometry: a look at the last twenty years [ MR 1718133 ]

Friedrich Hirzebruch — Complex cobordism and the elliptic genus [ MR 1718134 ]

G. Banaszak, W. Gajda and P. Krasoń — On Galois cohomology of some $p$adic representations and étale $K$theory of curves [ MR 1718135 ]

Gottfried Barthel, JeanPaul Brasselet, KarlHeinz Fieseler and Ludger Kaup — Equivariant intersection cohomology of toric varieties [ MR 1718136 ]

Eva BayerFluckiger — Lattices and number fields [ MR 1718137 ]

Frédéric Campana — $\scr G$connectedness of compact Kähler manifolds. I [ MR 1718138 ]

Fabrizio Catanese — Singular bidouble covers and the construction of interesting algebraic surfaces [ MR 1718139 ]

Paula B. Cohen — Quantum statistical mechanics and number theory [ MR 1718140 ]

Hélène Esnault and Eckart Viehweg — Semistable bundles on curves and irreducible representations of the fundamental group [ MR 1718141 ]

Gerd Faltings — Does there exist an arithmetic KodairaSpencer class? [ MR 1718142 ]

E. Getzler — The Virasoro conjecture for GromovWitten invariants [ MR 1718143 ]

K. Hulek, I. Nieto and G. K. Sankaran — Degenerations of $(1,3)$ abelian surfaces and Kummer surfaces [ MR 1718144 ]

Yujiro Kawamata — On the extension problem of pluricanonical forms [ MR 1718145 ]

Steven Kleiman and Ragni Piene — Enumerating singular curves on surfaces [ MR 1718146 ]

Herbert Kurke and Andreas Matuschke — On the structure of moduli spaces of framed vector bundles on rational and ruled surfaces [ MR 1718147 ]

Adrian Langer — A note on $k$jet ampleness on surfaces [ MR 1720870 ]

Alain Lascoux — About the “$y$” in the $\chi _y$characteristic of Hirzebruch [ MR 1720871 ]

Tetsuji Shioda — The splitting field of MordellWeil lattices [ MR 1720872 ]

M. Teicher — Hirzebruch surfaces: degenerations, related braid monodromy, Galois covers [ MR 1720873 ]

MarieFrance Vignéras — Intégrales orbitales modulo $l$ pour un groupe réductif $p$adique [ MR 1720874 ]

Andrzej Weber — A morphism of intersection homology and hard Lefschetz [ MR 1720875 ]

Shoji Yokura — On characteristic classes of complete intersections [ MR 1720876 ]


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This book presents the proceedings from the conference on algebraic geometry in honor of Professor Friedrich Hirzebruch's 70th Birthday. The event was held at the Stefan Banach International Mathematical Center in Warsaw (Poland). Topics covered in the book include intersection theory, singularities, lowdimensional manifolds, moduli spaces, number theory, and interactions between mathematical physics and geometry. Also included are articles from notes of two special lectures. The first, by Professor M. Atiyah, describes the important contributions to the field of geometry by Professor Hirzebruch. The second article contains notes from the talk delivered at the conference by Professor Hirzebruch. Contributors to the volume are leading researchers in the field.
Graduate students and research mathematicians interested in algebraic geometry; physicists.

Articles

Michael Atiyah — Physics and geometry: a look at the last twenty years [ MR 1718133 ]

Friedrich Hirzebruch — Complex cobordism and the elliptic genus [ MR 1718134 ]

G. Banaszak, W. Gajda and P. Krasoń — On Galois cohomology of some $p$adic representations and étale $K$theory of curves [ MR 1718135 ]

Gottfried Barthel, JeanPaul Brasselet, KarlHeinz Fieseler and Ludger Kaup — Equivariant intersection cohomology of toric varieties [ MR 1718136 ]

Eva BayerFluckiger — Lattices and number fields [ MR 1718137 ]

Frédéric Campana — $\scr G$connectedness of compact Kähler manifolds. I [ MR 1718138 ]

Fabrizio Catanese — Singular bidouble covers and the construction of interesting algebraic surfaces [ MR 1718139 ]

Paula B. Cohen — Quantum statistical mechanics and number theory [ MR 1718140 ]

Hélène Esnault and Eckart Viehweg — Semistable bundles on curves and irreducible representations of the fundamental group [ MR 1718141 ]

Gerd Faltings — Does there exist an arithmetic KodairaSpencer class? [ MR 1718142 ]

E. Getzler — The Virasoro conjecture for GromovWitten invariants [ MR 1718143 ]

K. Hulek, I. Nieto and G. K. Sankaran — Degenerations of $(1,3)$ abelian surfaces and Kummer surfaces [ MR 1718144 ]

Yujiro Kawamata — On the extension problem of pluricanonical forms [ MR 1718145 ]

Steven Kleiman and Ragni Piene — Enumerating singular curves on surfaces [ MR 1718146 ]

Herbert Kurke and Andreas Matuschke — On the structure of moduli spaces of framed vector bundles on rational and ruled surfaces [ MR 1718147 ]

Adrian Langer — A note on $k$jet ampleness on surfaces [ MR 1720870 ]

Alain Lascoux — About the “$y$” in the $\chi _y$characteristic of Hirzebruch [ MR 1720871 ]

Tetsuji Shioda — The splitting field of MordellWeil lattices [ MR 1720872 ]

M. Teicher — Hirzebruch surfaces: degenerations, related braid monodromy, Galois covers [ MR 1720873 ]

MarieFrance Vignéras — Intégrales orbitales modulo $l$ pour un groupe réductif $p$adique [ MR 1720874 ]

Andrzej Weber — A morphism of intersection homology and hard Lefschetz [ MR 1720875 ]

Shoji Yokura — On characteristic classes of complete intersections [ MR 1720876 ]