The group of holomorphic diffeomorphisms, Aut(M), of a compact complex manifold M is a Lie group of

We present a recent result about the Riemannian metric structure of the tangent manifold TM, the tot

Among abelian varieties, Jacobians of smooth projective curves C have the important property of bein

We generalize the classical MacDonald formula for smooth curves to reduced curves with planar singul

Non-abelian gerbes are a generalization of principal G-bundles, involving the replacement of the Lie

Let Λ be a D-algebra in the sense of Bernstein and Beilinson. Higgs bundles, vector bundles with fl

Let S be a smooth projective surface over C and B a smooth projective curve. A fibration f : S → B

Let X be a smooth projective curve of genus at least two. Let G be an almost simple affine algebraic

The moduli space M_C of Higgs bundles over a complex curve X admits a hyperkaehler metric: a Riemann

Given a totally nonholonomic distribution of rank two ∆ on a three-dimensional manifold M, it is n