Moduli of toric vector bundles

S Payne - Compositio Mathematica, 2008 - cambridge.org
We give a presentation of the moduli stack of toric vector bundles with fixed equivariant total
Chern class as a quotient of a fine moduli scheme of framed bundles by a linear group …

Equivariant primary decomposition and toric sheaves

M Perling, G Trautmann - manuscripta mathematica, 2010 - Springer
We study global primary decompositions in the category of sheaves on a scheme which are
equivariant under the action of an algebraic group. We show that equivariant primary …

Relative de Rham theory on Nash manifolds

A Aizenbud, S Carmeli - arXiv preprint arXiv:2105.12417, 2021 - arxiv.org
For a Nash submersion $\phi\colon X\to Y $, we study the complex $\mathcal {SDR}(\phi) $
of Schwartz sections of the relative de Rham complex of $\phi $. We define the notion of …

On the local cohomology of reflexive modules of rank one over normal semigroup rings

M Perling - arXiv preprint math/0503558, 2005 - arxiv.org
In this work we describe the local cohomology of reflexive modules of rank one over normal
semigroup rings with respect to monomial ideals. Using our description we show that the …