A celebration of algebraic geometry : in honor of Joe Harris' 60th birthday, August 25-28, 2011, Harvard University, Cambridge, Massachusetts

Description

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) Content: Classification of 2-Fano manifolds with high index / Ana-Maria Castravet -- Abelian varieties associated to Gaussian lattices / Arnaud Beauville -- Rank of divisors on graphs: An algebro-geometric analysis / Lucia Caporaso -- A tour of stable reduction with applications / Sebastian Casalaina-Martin -- The solvable monodromy extension property and varieties of log general type / Sabin Cautis -- Effective divisors of moduli spaces of curves and abelian varieties / Ian Morrison -- Rational self maps of Calabi-Yau manifolds / Xi Chen -- Variations on Nagata's conjecture / Joaquim Roe -- Symplectic restriction varieties and geometric branching rules / Izzet Coskun -- Riemann-Roch for Deligne-Mumford stacks / Dan Edidin -- The regularity of the conductor / Bernd Ulrich -- Stability of genus five canonical curves / David Ishii Smyth -- Restriction of sections for families of abelian varieties / Jason Michael Starr. Contents note continued: Correspondence and cycles spaces: A result comparing their cohomologies / Phillip Griffiths -- Geometry of theta divisors---a survey / Klaus Hulek -- Singular curves and their compactified Jacobians / Jesse Leo Kass -- On the Gottsche threshold / Ilya Tyomkin -- Curve counting a la Gottsche / Steven L. Kleiman -- Mnev-Sturmfels universality for schemes / Ravi Vakil -- Gromov-Witten theory and Noether-Lefschetz theory / Rahul Pandharipande -- Numerical Macaulification / Uwe Nagel -- The non-nef locus in positive characteristic / Mircea Mustata -- Pairwise incident planes and hyperkahler four-folds / Kieran G. O'Grady -- Derived equivalence and non-vanishing loci / Mihnea Popa -- Degenerations of rationally connected varieties and PAC fields / Jason Starr.