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Geometry and Arithmetic
Edited by: Carel Faber, Royal Institute of Technology, Stockholm, Sweden, Gavril Farkas, Humboldt University of Berlin, Germany, and Robin de Jong, University of Leiden, The Netherlands
A publication of the European Mathematical Society.
EMS Series of Congress Reports
2012; 384 pp; hardcover
Volume: 7
ISBN-10: 3-03719-119-8
ISBN-13: 978-3-03719-119-4
List Price: US$98
Member Price: US$78.40
Order Code: EMSSCR/7
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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.

A publication of the European Mathematical Society (EMS). Distributed within the Americas by the American Mathematical Society.


Graduate students and research mathematicians interested in algebraic and arithmetic geometry.

Table of Contents

  • V. Alexeev and D. Swinarski -- Nef divisors on \(\bar{M}_{0,n}\) from GIT
  • I. Bauer and F. Catanese -- Inoue type manifolds and Inoue surfaces: A connected component of the moduli space of surfaces with \(K^2 = 7, p_g = 0\)
  • A. Beauville -- Non-rationality of the symmetric sextic Fano threefold
  • C. Ciliberto and F. Flamini -- Brill-Noether loci of stable rank-two vector bundles on a general curve
  • J. I. Cogolludo-Agustín and R. Kloosterman -- Mordell-Weil groups and Zariski triples
  • J.-M. Couveignes and B. Edixhoven -- Approximate computations with modular curves
  • F. Eusen and F.-O. Schreyer -- A remark on a conjecture of Paranjape and Ramanan
  • A. Gibney -- On extensions of the Torelli map
  • B. H. Gross -- The classes of singular moduli in the generalized Jacobian
  • G. Harder -- The Eisenstein motive for the cohomology of \(\mathrm{GSp}_2(\mathbb{Z})\)
  • J. Heinloth -- Cohomology of the moduli stack of coherent sheaves on a curve
  • E. W. Howe and K. E. Lauter -- New methods for bounding the number of points on curves over finite fields
  • H. Ito and S. Schröer -- Wildly ramified actions and surfaces of general type arising from Artin-Schreier curves
  • T. Katsura and S. Kondō -- A note on a supersingular K3 surface in characteristic 2
  • S. J. Kovács -- The intuitive definition of Du Bois singularities
  • H. Lange and P. E. Newstead -- Bundles of rank 2 with small Clifford index on algebraic curves
  • R. Pandharipande and A. Pixton -- Descendents on local curves: Stationary theory
  • D. Petersen -- A remark on Getzler's semi-classical approximation
  • R. Schoof -- On the modular curve \(X_0(23)\)
  • C. Voisin -- Degree 4 unramified cohomology with finite coefficients and torsion codimension 3 cycles
  • Y. G. Zarhin -- Poincaré duality and unimodularity
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