# Geometry and Arithmetic

Book details

Nef divisors on $\M_{0,n}$ from GIT
Valery Alexeev and David Swinarski
pp. 1–21
Abstract | Full-Text PDF (345 KB)

Inoue type manifolds and Inoue surfaces: a connected component of the moduli space of surfaces with $K^2=7, p_g = 0$
Ingrid Bauer and Fabrizio Catanese
pp. 23–56
Abstract | Full-Text PDF (359 KB)

Non-rationality of the symmetric sextic Fano threefold
Arnaud Beauville
pp. 57–60
Abstract | Full-Text PDF (146 KB)

Brill–Noether loci of stable rank-two vector bundles on a general curve
Ciro Ciliberto and Flaminio Flamini
pp. 61–74
Abstract | Full-Text PDF (214 KB)

Mordell–Weil groups and Zariski triples
José Ignacio Cogolludo-Agustín and Remke Kloosterman
pp. 75–89
Abstract | Full-Text PDF (254 KB)

Approximate computations with modular curves
Jean-Marc Couveignes and Bas Edixhoven
pp. 91–112
Abstract | Full-Text PDF (553 KB)

A remark on a conjecture of Paranjape and Ramanan
Friedrich Eusen and Frank-Olaf Schreyer
pp. 113–123
Abstract | Full-Text PDF (337 KB)

On extensions of the Torelli map
Angela Gibney
pp. 125–136
Abstract | Full-Text PDF (286 KB)

The classes of singular moduli in the generalized Jacobian
Benedict H. Gross
pp. 137–141
Abstract | Full-Text PDF (157 KB)

The Eisenstein motive for the cohomology of GSp2(ℤ)
Günter Harder
pp. 143–164
Abstract | Full-Text PDF (415 KB)

Cohomology of the moduli stack of coherent sheaves on a curve
Jochen Heinloth
pp. 165–171
Abstract | Full-Text PDF (169 KB)

New methods for bounding the number of points on curves over finite fields
Everett W. Howe and Kristin E. Lauter
pp. 173–212
Abstract | Full-Text PDF (511 KB)

Wildly ramified actions and surfaces of general type arising from Artin–Schreier curves
Hiroyuki Ito and Stefan Schröer
pp. 213–241
Abstract | Full-Text PDF (314 KB)

A note on a supersingular K3 surface in characteristic 2
Toshiyuki Katsura and Shigeyuki Kondō
pp. 243–255
Abstract | Full-Text PDF (182 KB)

The intuitive definition of Du Bois singularities
Sándor J. Kovács
pp. 257–266
Abstract | Full-Text PDF (257 KB)

Bundles of rank 2 with small Clifford index on algebraic curves
H. Lange and Peter E. Newstead
pp. 267–281
Abstract | Full-Text PDF (189 KB)

Descendents on local curves: Stationary theory
Rahul Pandharipande and A. Pixton
pp. 283–307
Abstract | Full-Text PDF (330 KB)

A remark on Getzler’s semi-classical approximation
Dan Petersen
pp. 309–316
Abstract | Full-Text PDF (220 KB)

On the modular curve X0(23)
René Schoof
pp. 317–345
Abstract | Full-Text PDF (314 KB)

Degree 4 unramified cohomology with finite coefficients and torsion codimension 3 cycles
Claire Voisin
pp. 347–368
Abstract | Full-Text PDF (275 KB)

Poincaré duality and unimodularity
Yuri G. Zarhin
pp. 369–376
Abstract | Full-Text PDF (181 KB)