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Book SynopsisTable of ContentsClassification of 2-Fano manifolds with high index by C. Araujo and A.-M. Castravet Abelian varieties associated to Gaussian lattices by A. Beauville Rank of divisors on graphs: An algebro-geometric analysis by L. Caporaso A tour of stable reduction with applications by S. Casalaina-Martin The solvable monodromy extension property and varieties of log general type by S. Cautis Effective divisors on moduli spaces of curves and abelian varieties by D. Chen, G. Farkas, and I. Morrison Rational self maps of Calabi-Yau manifolds by X. Chen Variations on Nagata's conjecture by C. Ciliberto, B. Harbourne, R. Miranda, and J. Roe Symplectic restriction varieties and geometric branching rules by I. Coskun Riemann-Roch for Deligne-Mumford stacks by D. Edidin The regularity of the conductor by D. Eisenbud and B. Ulrich Stability of genus five canonical curves by M. Fedorchuk and D. I. Smyth Restriction of sections for families of abelian varieties by T. Graber and J. M. Starr Correspondence and cycle spaces: A result comparing their cohomologies by M. Green and P. Griffiths Geometry of theta divisors-A survey by S. Grushevsky and K. Hulek Singular curves and their compactified Jacobians by J. L. Kass On the Gottsche threshold (with an appendix by I. Tyomkin) by S. L. Kleiman and V. V. Shende Curve counting a la Gottsche by S. L. Kleiman Mnev-Sturmfels universality for schemes by S. H Lee and R. Vakil Gromov-Witten theory and Noether-Lefschetz theory by D. Maulik and R. Pandharipande Numerical Macaulification by J. Migliore and U. Nagel The non-nef locus in positive characteristic by M. Mustata Pairwise incident planes and hyperkahler four-folds by K. G. O'Grady Derived equivalence and non-vanishing loci by M. Popa Degenerations of rationally connected varieties and PAC fields by J. Starr Remarks on curve classes on rationally connected varieties by C. Voisin