REVIEW 3 cited by
An introduction to higher dimensional local fields and adeles
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
These notes are an introduction to higher dimensional local fields and higher dimensional adeles. As well as the foundational theory, we summarise the theory of topologies on higher dimensional local fields and higher dimensional local class field theory.
Forward citations
Cited by 3 Pith papers
-
Semistable Reduction of Plane Quartics
A plane quartic admits a GIT-stable plane model exactly when its stable reduction is non-hyperelliptic, and then the stable model is the unique minimal semistable model arising by resolving the cusps of the GIT model.
-
Embeddings and intersections of adelic groups
Proves embeddings and intersection equalities for adelic groups on excellent and projective schemes, plus a limit result for global sections of locally free sheaves.
-
Structure of ind-pro completions of Noetherian rings
For essentially finite type algebras over a field, the ind-pro completion of a ring along a flag of prime ideals has dimension ht(p0)+ht(pn/p0)−n and is semilocal exactly when the flag is saturated.
Discussion (0). Continue with ORCID to comment.