Search arXiv⌕ Search

arXiv · 0705.1171

Cusp Algebras

Abstract

We consider simple cusp algebras, that is certain subalgebras of the algebra of holomorphic functions on a disk that are annihilated by some distributions living on a singleton. We determine when these algebras can be holized in two dimensions, and when these holizations are globally biholomorphic.

Explore related subjects

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

Jim Agler, John E. McCarthy. 2007-05-08. Cusp Algebras. https://arxiv.org/abs/0705.1171

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

Ax-Schanuel with derivatives for mixed period mappings

We prove the Ax-Schanuel property of the derivatives of mixed period mappings. We also prove the jet space reformulation of this result. The proofs use the Ax-Schanuel result for principal bundles with flat connections obtained by Blázquez-Sanz, Casale, Freitag, and Nagloo.

math.AG↗