Pure and Applied Mathematics Quarterly

Preface

On Generalisations of Losev-Manin Moduli Spaces for Classical Root Systems

Symmetric Differentials of Rank 1 and Holomorphic Maps

On Canonically Fibred Algebraic 3-Folds - Some New Examples

Extensions of Multiply Twisted Pluri-Canonical Forms

Holomorphic Morse Inequalities and the Green-Griffiths-Lang Conjecture

Finite Group Actions, Rational fixed Points and Weak Neron Models

A P-Adic Simpson Correspondence II: Small Representations

The Maximal Rank Conjecture and Rank Two Brill-Noether Theory

The Hodge Bundle on Hurwitz Spaces

Principally Polarized Semi-Abelic Varieties of Small Torus Rank, and the Andreotti-Mayer Loci

Birational Invariance of the S-fundamental Group Scheme

Anticanonical Divisors and Curve Classes on Fano Manifolds

A Note on the Bloch{Beilinson Conjecture for K3 Surfaces and Spherical Objects

On Endomorphisms of Fano Manifolds of Picard Number One

Semipositivity Theorem for Reducible Algebraic Fiber Spaces

Low Degree GW Invariants of Spin Surfaces

A Local Version of the Kawamata-Viehweg Vanishing Theorem

Irrational Centers

Further Examples of Stable Bundles of Rank 2 with 4 Sections

Canonical Cohomology as an Exterior Module

The Slice Filtration and Grothendieck-Witt Groups

Finiteness of Subfamilies of Calabi-Yau N-Folds over Curves with Maximal Length of Yukawa-Coupling

A Characterization of Special Subvarieties in Orthogonal Shimura Variet

Periods of Enriques Manifolds

K3 Surfaces with Order 11 Automorphisms

Local Systems on Proper Algebraic V -manifolds

Elliptic Curves in Moduli Space of Stable Bundles

Cuspidal Curves and Vector Bundles on an Algebraic Surface, I