Current Developments in Algebraic Geometry
Edited by Lucia Caporaso, James McKernan, Mircea Mustata, and Mihnea Popa
Contents
Front matter (front page, copyright page)
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Table of Contents
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Preface by Lucia Caporaso, James McKernan, Mircea Mustata, and Mihnea Popa, ix–x
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Fibers of projections and submodules of deformations, by Roya Beheshti and David Eisenbud, 1–15
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Introduction to birational anabelian geometry by Fedor Bogomolov and Yuri Tschinkel, 17–63
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Periods and moduli by Olivier Debarre, 65–84
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The Hodge theory of character varieties by Mark Andrea A. de Cataldo, 85–111
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Rigidity properties of Fano varieties by Tommaso de Fernex and Christopher D. Hacon, 113–127
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The Schottky problem by Samuel Grushevsky, 129–164
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Interpolation by Joe Harris, 165–176
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Chow groups and derived categories of K3 surfaces by Daniel Huybrechts, 177–195
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Geometry of varieties of minimal rational tangents by Jun-Muk Hwang, 197–226
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Quotients by finite equivalence relations
by János Kollár (with an appendix by Claudiu Raicu), 227–256
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Higher-dimensional analogues of K3 surfaces by Kieran G. O'Grady, 257–293
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Compactifications of moduli of abelian varieties: an introduction
by Martin Olsson, 295–348
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The geography of irregular surfaces by Margarida Mendes Lopes and Rita Pardini, 349–378
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Basic results on irregular varieties via Fourier–Mukai methods by Giuseppe Pareschi, 379–403
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Algebraic surfaces and hyperbolic geometry by Burt Totaro, 405–426
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