arXiv subjects

Stephanie Cupit-Foutou

Publications and source records attributed to Stephanie Cupit-Foutou.

3 recordsLinked to original sources

arXiv2015

Microlocal analysis on wonderful varieties. Regularized traces and global characters

Let $\mathbf{G}$ be a connected reductive complex algebraic group with split real form $(G,σ)$. Consider a strict wonderful $\mathbf{G}$-variety $\bf{X}$ equipped with its $σ$-equivariant real structure, and let $X$ be the corresponding real locus. Further, let $E$ be a real differentiable $G$-vector bundle over $X$. In this paper, we introduce a distribution character for the regular representation of $G$ on the space of smooth sections of $E$, and show that on a certain open subset of $G$ of transversal elements it is locally integrable and given by a sum over fixed points.

math.AG↗

arXiv2006

Non-Kaehler manifolds and GIT-quotients

Bosio generalized the construction by Meersseman of a family of non-algebraic compact complex manifolds of any dimension. We establish a link between Bosio's construction and GIT quotients. We show that his generalization parallels exactly the extension from Mumford's GIT to the more general GIT developed by Bialynicki-Birula and Swiecicka. This gives new insights into the relationship between the two non-algebraic families, from which we obtain new results on their geometry.

math.AG↗

arXiv2006

Equivariant deformations of the affine multicone over a flag variety

We prove that the invariant Hilbert scheme parametrising the equivariant deformations of the affine multicone over a flag variety is, under certain hypotheses, an affine space. The proof is based on the construction of a wonderful variety in a fixed multiprojective space.

math.AG↗