18 citations · 31 across the 5 of their papers we have counts for
5 papers
Geometric properties of commutative subalgebras of partial differential operators
Herbert Kurke, Alexander Zheglov
We investigate further alebro-geometric properties of commutative rings of partial differential operators continuing our research started in previous articles. In particular, we st…
Commuting differential operators and higher-dimensional algebraic varieties
Herbert Kurke, Denis Osipov, Alexander Zheglov
Several algebro-geometric properties of commutative rings of partial differential operators as well as several geometric constructions are investigated. In particular, we show how…
Formal groups arising from formal punctured ribbons
Herbert Kurke, Denis Osipov, Alexander Zheglov
We investigate Picard functor of a formal punctured ribbon. We prove that under some conditions this functor is representable by a formal group scheme. Formal punctured ribbons wer…
Formal punctured ribbons and two-dimensional local fields
Herbert Kurke, Denis Osipov, Alexander Zheglov
We investigate formal ribbons on curves. Roughly speaking, formal ribbon is a family of locally linearly compact vector spaces on a curve. We establish a one-to-one correspondence…
The spectrum of semistable vector bundles on certain algebraic spaces
H. Kurke, O. Teschke
We extend the notion of the spectrum of semistable rank two bundles (initially constructed on by Barth and Elencwajg) to a certain class of compact complex algebraic th…