Skip to main content
We gratefully acknowledge support from the Simons Foundation, member institutions, and all contributors. Donate
arXiv logo
Cornell University Logo

Algebraic Geometry

arXiv:alg-geom/9606015 (alg-geom)
[Submitted on 21 Jun 1996 (v1), last revised 1 Apr 1997 (this version, v2)]

Title:On a relative version of the Krichever correspondence

Authors:Ines Quandt
View PDF
Abstract: For a given base scheme, a correspondence is established between a class of sheaves on curves over this base scheme and certain points of infinite Grassmannians. This equivalence extends to a characterization of commutative algebras of ordinary differential operators with coefficients in the ring of formal power series over a given $k$-algebra. Our construction generalizes the approach of this http URL, which gives the above connection in the case that the base scheme is one closed point.
Comments: 59 pages LaTeX with inputs of AMSTeX; In addition to some corrections the main change consists in the extension of the Krichever correspondence to all locally noetherian base schemes
Subjects: Algebraic Geometry (math.AG)
Cite as: arXiv:alg-geom/9606015
  (or arXiv:alg-geom/9606015v2 for this version)
  https://doi.org/10.48550/arXiv.alg-geom/9606015
Journal reference: Bayreuther Mathematische Schriften 52 (1997), p.1-74

Submission history

From: Ines Quandt [view email]
[v1] Fri, 21 Jun 1996 07:29:24 UTC (40 KB)
[v2] Tue, 1 Apr 1997 13:36:31 UTC (44 KB)
Full-text links:

Access Paper:

view license
Current browse context:
math.AG
< prev   |   next >
new | recent | 1996-06

References & Citations

export BibTeX citation

Bookmark

BibSonomy logo Reddit logo

Bibliographic and Citation Tools

Bibliographic Explorer (What is the Explorer?)
Connected Papers (What is Connected Papers?)
Litmaps (What is Litmaps?)
scite Smart Citations (What are Smart Citations?)

Code, Data and Media Associated with this Article

alphaXiv (What is alphaXiv?)
CatalyzeX Code Finder for Papers (What is CatalyzeX?)
DagsHub (What is DagsHub?)
Gotit.pub (What is GotitPub?)
Hugging Face (What is Huggingface?)
Papers with Code (What is Papers with Code?)
ScienceCast (What is ScienceCast?)

Demos

Replicate (What is Replicate?)
Hugging Face Spaces (What is Spaces?)
TXYZ.AI (What is TXYZ.AI?)

Recommenders and Search Tools

Influence Flower (What are Influence Flowers?)
CORE Recommender (What is CORE?)

arXivLabs: experimental projects with community collaborators

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.

Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)