Barbara Fantechi

The intrinsic normal cone

Abstract.Let

Orbifold cohomology for global quotients

X

STABLE MAPS AND BRANCH DIVISORS

be an algebraic stack in the sense of Deligne-Mumford. We construct a purely

Automorphisms and moduli spaces of varieties with ample canonical class via deformations of abelian covers

0

On the Hilbert scheme of curves in higher-dimensional projective space

-dimensional algebraic stack over

Obstruction Calculus for Functors of Artin Rings, I

X

Smooth toric DM stacks

(in the sense of Artin), the intrinsic normal cone

Euler number of the compactified Jacobian and multiplicity of rational curves

{\frak C}_X

Grothendieck’s existence theorem in formal geometry

. The notion of (perfect) obstruction theory for

Moduli Spaces of Semistable Sheaves on Projective Deligne-Mumford Stacks

X