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A Celebration of Algebraic Geometry
Edited by: Brendan Hassett, Rice University, Houston, TX, James McKernan, Massachusetts Institute of Technology, Cambridge, MA, Jason Starr, Stony Brook University, NY, and Ravi Vakil, Stanford University, CA
A co-publication of the AMS and Clay Mathematics Institute.
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Clay Mathematics Proceedings
2013; 599 pp; softcover
Volume: 18
ISBN-10: 0-8218-8983-4
ISBN-13: 978-0-8218-8983-1
List Price: US$149 Member Price: US$119.20
Order Code: CMIP/18

This volume resulted from the conference A Celebration of Algebraic Geometry, which was held at Harvard University from August 25-28, 2011, in honor of Joe Harris' 60th birthday. Harris is famous around the world for his lively textbooks and enthusiastic teaching, as well as for his seminal research contributions. The articles are written in this spirit: clear, original, engaging, enlivened by examples, and accessible to young mathematicians.

The articles in this volume focus on the moduli space of curves and more general varieties, commutative algebra, invariant theory, enumerative geometry both classical and modern, rationally connected and Fano varieties, Hodge theory and abelian varieties, and Calabi-Yau and hyperkähler manifolds. Taken together, they present a comprehensive view of the long frontier of current knowledge in algebraic geometry.

Titles in this series are co-published with the Clay Mathematics Institute (Cambridge, MA).

• C. Araujo and A.-M. Castravet -- Classification of 2-Fano manifolds with high index
• A. Beauville -- Abelian varieties associated to Gaussian lattices
• L. Caporaso -- Rank of divisors on graphs: An algebro-geometric analysis
• S. Casalaina-Martin -- A tour of stable reduction with applications
• S. Cautis -- The solvable monodromy extension property and varieties of log general type
• D. Chen, G. Farkas, and I. Morrison -- Effective divisors on moduli spaces of curves and abelian varieties
• X. Chen -- Rational self maps of Calabi-Yau manifolds
• C. Ciliberto, B. Harbourne, R. Miranda, and J. Roé -- Variations on Nagata's conjecture
• I. Coskun -- Symplectic restriction varieties and geometric branching rules
• D. Edidin -- Riemann-Roch for Deligne-Mumford stacks
• D. Eisenbud and B. Ulrich -- The regularity of the conductor
• M. Fedorchuk and D. I. Smyth -- Stability of genus five canonical curves
• T. Graber and J. M. Starr -- Restriction of sections for families of abelian varieties
• M. Green and P. Griffiths -- Correspondence and cycle spaces: A result comparing their cohomologies
• S. Grushevsky and K. Hulek -- Geometry of theta divisors-A survey
• J. L. Kass -- Singular curves and their compactified Jacobians
• S. L. Kleiman and V. V. Shende -- On the Göttsche threshold (with an appendix by I. Tyomkin)
• S. L. Kleiman -- Curve counting à la Göttsche
• S. H Lee and R. Vakil -- Mnëv-Sturmfels universality for schemes
• D. Maulik and R. Pandharipande -- Gromov-Witten theory and Noether-Lefschetz theory
• J. Migliore and U. Nagel -- Numerical Macaulification
• M. Mustaţă -- The non-nef locus in positive characteristic
• K. G. O'Grady -- Pairwise incident planes and hyperkähler four-folds
• M. Popa -- Derived equivalence and non-vanishing loci
• J. Starr -- Degenerations of rationally connected varieties and PAC fields
• C. Voisin -- Remarks on curve classes on rationally connected varieties