Nef divisors on $\M_{0,n}$ from GIT / Valery Alexeev, David Swinarski -- Inoue type manifolds and Inoue surfaces: a connected component of the moduli space of surfaces with $K^2=7, p_g = 0$ / Ingrid Bauer, Fabrizio Catanese -- Non-rationality of the symmetric sextic Fano threefold / Arnaud Beauville -- Brill–Noether loci of stable rank-two vector bundles on a general curve / Ciro Ciliberto, Flaminio Flamini -- Mordell–Weil groups and Zariski triples / José Ignacio Cogolludo-Agustín, Remke Kloosterman -- Approximate computations with modular curves / Jean-Marc Couveignes, Bas Edixhoven -- A remark on a conjecture of Paranjape and Ramanan / Friedrich Eusen, Frank-Olaf Schreyer -- On extensions of the Torelli map / Angela Gibney -- The classes of singular moduli in the generalized Jacobian / Benedict H. Gross -- The Eisenstein motive for the cohomology of GSp2(ℤ) / Günter Harder -- Cohomology of the moduli stack of coherent sheaves on a curve / Jochen Heinloth -- New methods for bounding the number of points on curves over finite fields / Everett W. Howe, Kristin E. Lauter -- Wildly ramified actions and surfaces of general type arising from Artin–Schreier curves / Hiroyuki Ito, Stefan Schröer -- A note on a supersingular K3 surface in characteristic 2 / Toshiyuki Katsura, Shigeyuki Kondō -- The intuitive definition of Du Bois singularities / Sándor J. Kovács -- Bundles of rank 2 with small Clifford index on algebraic curves / H. Lange, Peter E. Newstead -- Descendents on local curves: Stationary theory / Rahul Pandharipande, A. Pixton -- A remark on Getzler’s semi-classical approximation / Dan Petersen -- On the modular curve X0(23) / René Schoof -- Degree 4 unramified cohomology with finite coefficients and torsion codimension 3 cycles / Claire Voisin -- Poincaré duality and unimodularity / Yuri G. Zarhin.

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This volume contains 21 articles written by leading experts in the fields of algebraic and arithmetic geometry. The treated topics range over a variety of themes, including moduli spaces of curves and abelian varieties, algebraic cycles, vector bundles and coherent sheaves, curves over finite fields, and algebraic surfaces, among others. The volume originates from the conference “Geometry and Arithmetic”, which was held on the island of Schiermonnikoog in The Netherlands in September 2010.