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math.AG2007★ 47 cited
Smooth toric DM stacks
Barbara Fantechi, Etienne Mann, Fabio Nironi
We give a new definition of smooth toric DM stacks in the same spirit of toric varieties. We show that our definition is equivalent to the one of Borisov, Chen and Smith in terms o…
math.AG2006
Orbifold quantum cohomology of weighted projective spaces
Etienne Mann
This article is a revised, short and english version of my PhD thesis. First, we show a mirror theorem : the Frobenius manifold associated to the orbifold quantum cohomology of wei…
math.AG2006★ 9 cited
Crepant resolutions of weighted projective spaces and quantum deformations
Samuel Boissiere, Etienne Mann, Fabio Perroni
We compare the Chen-Ruan cohomology ring of the weighted projective spaces $\IP(1,3,4,4)$ and $\IP(1,...,1,n)$ with the cohomology ring of their crepant resolutions. In both cases,…