This volume honors Herb Clemens and his contributions to algebraic geometry. The exceptional gathering of mathematicians at the symposium attest to his remarkable career. Papers in the book address topics in which Clemens has been active: the geometry of threefolds, enumerative geometry, Hodge theory, and higher-order methods for attacking deformation problems.

The volume is suitable for graduate students and research mathematicians interested in algebraic geometry.

Readership

Advanced graduate students and research mathematicians interested in algebraic geometry.

Table of Contents

• D. Allcock, J. A. Carlson, and D. Toledo -- Orthogonal complex hyperbolic arrangements
• E. Arbarello -- Sketches of KdV
• A. Beauville -- Vector bundles on the cubic threefold
• A. Bertram -- Using symmetry to count rational curves
• R. Friedman and J. W. Morgan -- Exceptional groups and del Pezzo surfaces
• M. Green and P. Griffiths -- The regulator map for a general curve
• S. Katz -- Versal deformations and superpotentials for rational curves in smooth threefolds
• J. Kollár -- The Nash conjecture for nonprojective threefolds
• Y. Lee -- Bounds and \(\mathbb{Q}\)-Gorenstein smoothings of smoothable stable log surfaces
• M. V. Nori -- The integral of powers of a function
• Z. Ran -- On semipositivity of sheaves of differential operators and the degree of a unipolar \(\mathbb{Q}\)-Fano variety
• Y. Ruan -- Stringy geometry and topology of orbifolds
• R. Smith and R. Varley -- The Prym Torelli problem: An update and a reformulation as a question in birational geometry
• C. Voisin -- On the punctual Hilbert scheme of a symplectic fourfold