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Advances in Algebraic Geometry Motivated by Physics
About this Title
Emma Previato, Editor
Publication: Contemporary Mathematics
Publication Year:
2001; Volume 276
ISBNs: 978-0-8218-2810-6 (print); 978-0-8218-7866-8 (online)
DOI: https://doi.org/10.1090/conm/276
MathSciNet review: 1837106
ReadershipTable of Contents
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Front/Back Matter
Chapter I. Enuerative or reality problems
- Sándor J. Kovács – Number of automorphisms of principally polarized abelian varieties [MR 1837107]
- Frank Sottile – Rational curves on Grassmannians: systems theory, reality, and transversality [MR 1837108]
- Alexander I. Suciu – Fundamental groups of line arrangements: enumerative aspects [MR 1837109]
Chapter II. Variational and moduli problems
- Dan Abramovich and Aaron Bertram – The formula $12=10+2\times 1$ and its generalizations: counting rational curves on $\mathbf {F}_2$ [MR 1837110]
- Dan Abramovich and Frans Oort – Stable maps and Hurwitz schemes in mixed characteristics [MR 1837111]
- Lucia Caporaso – On modular properties of odd theta-characteristics [MR 1837112]
- Eduardo Cattani and Javier Fernandez – Asymptotic Hodge theory and quantum products [MR 1837113]
- Herbert Clemens – On rational curves in $n$-space with given normal bundle [MR 1837114]
- Ravi Vakil – A tool for stable reduction of curves on surfaces [MR 1837115]
Chapter III. Mirror symmetry and Gromov-Witten invariants
- David A. Cox, Sheldon Katz and Yuan-Pin Lee – Virtual fundamental classes of zero loci [MR 1837116]
- Tyler J. Jarvis, Takashi Kimura and Arkady Vaintrob – Gravitational descendants and the moduli space of higher spin curves [MR 1837117]
- Bernd Kreußler – Homological mirror symmetry in dimension one [MR 1837118]
- Anvar R. Mavlyutov – The Hodge structure of semiample hypersurfaces and a generalization of the monomial-divisor mirror map [MR 1837119]
- Alexander Polishchuk and Arkady Vaintrob – Algebraic construction of Witten’s top Chern class [MR 1837120]
- Alexander Postnikov – Symmetries of Gromov-Witten invariants [MR 1837121]
- Steven Rosenberg and Mihaela Vajiac – Gauge theory techniques in quantum cohomology [MR 1837122]
- C. Woodward – Gromov-Witten invariants of flag manifolds and products of conjugacy classes [MR 1837123]