viii CONTENTS
Vanishing, singularities and effective bounds via prime characteristic local
algebra
KAREN E. SMITH 289
III. Motives and Connections with Arithmetic
Lectures on mixed motives
SPENCER BLOCH 329
Period domains over finite and local fields
MICHAEL RAPOPORT 361
Hermitian vector bundles on arithmetic varieties
CHRISTOPHE SOULE 383
IV. Real Algebraic Varieties and Singularities
Invariants of generic plane curves and invariants of singularities
S. M. GUSEIN-ZADE 423
Enumerative geometry for real varieties
FRANK SOTTILE 435
Part 2
Preface xi
Scientific Program xiii
V. Quantum Cohomology and Connections with Physics
Seiberg-Witten integrable systems
RON DONAGI 3
Notes on stable maps and quantum cohomology
W. FULTON AND R. PANDHARIPANDE 45
Mapping class groups and moduli spaces of curves
RICHARD HAIN AND EDUARD LOOIJENGA 97
Algebraic and symplectic geometry of Gromov-Witten invariants
JUN LI AND GANG TIAN 143
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