Vol. 10, No. 7, 2016

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Arithmetic invariant theory and 2-descent for plane quartic curves
1373–1413

Jack A. Thorne

Appendix: Tasho Kaletha

Furstenberg sets and Furstenberg schemes over finite fields
1415–1436

Jordan S. Ellenberg and Daniel Erman

Local deformation rings for $\operatorname{GL}_2$ and a Breuil–Mézard conjecture when $l \neq p$
1437–1475

Jack Shotton

Generalized Kuga–Satake theory and rigid local systems, II: rigid Hecke eigensheaves
1477–1526

Stefan Patrikis

Lifting preprojective algebras to orders and categorifying partial flag varieties
1527–1579

Laurent Demonet and Osamu Iyama

A fibered power theorem for pairs of log general type
1581–1600

Kenneth Ascher and Amos Turchet