Writing long books is a laborious and impoverishing act of foolishness: expanding in five
hundred pages an idea that could be perfectly explained in a few minutes. A better …

We investigate stability conditions related to the existence of solutions of the Hull-Strominger
system with prescribed balanced class. We build on recent work by the authors, where the …

We construct the space of infinitesimal variations for the Strominger system and an
obstruction space to integrability, using elliptic operator theory. We initiate the study of the …

COMPOSITIO MATHEMATICA Page 1 COMPOSITIO MATHEMATICA FOUNDATION
COMPOSITIO MATHEMATICA Trihyperkähler reduction and instanton bundles on CP3 …

Abstract The Enriques–Kodaira classification treats non-Kähler surfaces as a special case
within the Kodaira framework. We prove the classification results for non-Kähler complex …

We study the existence of three classes of Hermitian metrics on certain types of compact
complex manifolds. More precisely, we consider balanced, strong Kähler with torsion (SKT) …

Let M be a compact complex manifold. The corresponding Teichmüller space Teich is the
space of all complex structures on M up to the action of the group Diff 0 (M) of isotopies. The …

A numerical algorithm is presented for explicitly computing the gauge connection on slope-
stable holomorphic vector bundles on Calabi-Yau manifolds. To illustrate this algorithm, we …

We introduce and study the notion of atomic sheaves and complexes on higher-dimensional
hyper-K\" ahler manifolds and show that they share many of the intriguing properties of …

A Hermitian metric ω on a complex manifold is called SKT or pluriclosed if ddc ω= 0. Let M
be a twistor space of a compact, anti-selfdual Riemannian manifold, admitting a pluriclosed …