7 citations · 12 across the 3 of their papers we have counts for
3 papers
math.AG2008★ 7 cited
Hermitian vector bundles and extension groups on arithmetic schemes. II. The arithmetic Atiyah extension
Jean-Benoit Bost, Klaus Kuennemann
In a previous paper, we have defined arithmetic extension groups in the context of Arakelov geometry. In the present one, we introduce an arithmetic analogue of the Atiyah extensio…
math.NT2007★ 5 cited
Hermitian vector bundles and extension groups on arithmetic schemes. I. Geometry of numbers
Jean-Benoit Bost, Klaus Kuennemann
We define and investigate extension groups in the context of Arakelov geometry. The 'arithmetic extension groups' we introduce are extensions by groups of analytic types of the usu…
math.AG2003
The Hodge star operator on Schubert forms
Klaus Kuennemann, Harry Tamvakis
Let X=G/P be a homogeneous space of a complex semisimple Lie group G equipped with a hermitian metric. We study the action of the Hodge star operator on the space of harmonic diffe…