Contents
Introduction
Chapter I. Enumerative or reality problems
Number of automorphisms of principally polarized abelian varieties
SANDOR J. Kov .Acs
Rational curves on Grassmannians: Systems theory, reality, and
transversality
FRANK SOTTILE
Fundamental groups of line arrangements: Enumerative aspects
ALEXANDER
I.
Sucw
Chapter II. Variational and moduli problems
The formula 12
=
10
+
2 x 1 and its generalizations: Counting rational
curves on F2
DAN ABRAMOVICH AND AARON BERTRAM
Stable maps and Hurwitz schemes in mixed characteristics
DAN ABRAMOVICH AND FRANS 00RT
On modular properties of odd theta-characteristics
LUCIA. CAPORASO
Asymptotic Hodge theory and quantum products
EDUARDO CATTANI AND JAVIER FERNANDEZ
On rational curves in n-space with given normal bundle
HERBERT CLEMENS
A tool for stable reduction of curves on surfaces
RAVI VAKIL
Chapter III. Mirror symmetry and Gromov-Witten invariants
Virtual fundamental classes of zero loci
ix
3
9
43
83
89
101
115
137
145
DAviD A. Cox, SHELDON KATZ, AND YUAN-PIN LEE
157
Gravitational descendants and the moduli space of higher spin curves
TYLER J. JARVIS, TAKASHI KIMURA, AND ARKADY VAINTROB
167
vii
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