Algebraic Geometry

by Abramovich, D.; Bertram, A.; Katzarkov, L.; Pandharipande, R.; Thaddeus, M.

• ISBN13: 9780821847039
• ISBN10: 0821847031
• Format: Hardcover
• Copyright: 2009-02-25
• Publisher: Amer Mathematical Society

Summary

Hodge-theoretic aspects of the decomposition theorem by M. A. A. De Cataldo and L. Migliorini Jet schemes and singularities by L. Ein and M. Mustata Multiple polylogarithms, polygons, trees and algebraic cycles by H. Gangl, A. B. Goncharov, and A. Levin Geometry and topology of symplectic resolutions by D. Kaledin Actions of $\mathbb{C}^*$ and $\mathbb{C}_+$ on affine algebraic varieties by S. Kaliman Derived categories and birational geometry by Y. Kawamata $p$-adic cohomology by K. S. Kedlaya Subvarieties of moduli stacks of canonically polarized varieties: generalizations of Shafarevich's conjecture by S. A. Kovacs Young person's guide to moduli of higher dimensional varieties by S. J. Kovacs Seattle lectures on motivic integration by F. Loeser Differential graded Lie algebras and formal deformation theory by M. Manetti On Faltings' method of almost etale extensions by M. C. Olsson Weak approximation for hypersurfaces of low degree by B. Hassett and Y. Tschinkel Simple constructive weak factorization by J. Wlodarczyk

Table of Contents

Hodge-theoretic aspects of the decomposition theorem

Jet schemes and singularities

Multiple polylogarithms, polygons, trees and algebraic cycles

Geometry and topology of symplectic resolutions

Actions of $\mathbb{C}^*$ and $\mathbb{C}_+$ on affine algebraic varieties

Derived categories and birational geometry

$p$-adic cohomology

Subvarieties of moduli stacks of canonically polarized varieties: generalizations of Shafarevich's conjecture

Young person's guide to moduli of higher dimensional varieties

Seattle lectures on motivic integration

Differential graded Lie algebras and formal deformation theory

On Faltings' method of almost etale extensions

Weak approximation for hypersurfaces of low degree

Simple constructive weak factorization

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