Continuous homomorphisms between algebras of iterated Laurent series over a ring

Abstract

We study continuous homomorphisms between algebras of iterated Laurent series over a commutative ring. We give a full description of such homomorphisms in terms of a discrete data determined by the images of parameters. In similar terms, we give a criterion of invertibility of an endomorphism and provide an explicit formula for the inverse endomorphism. We study the behavior of the higher-dimensional residue under continuous homomorphisms.

26 pages; minor changes

References in corpus (1)

• The two-dimensional Contou-Carrère symbol and reciprocity laws

Cited by in corpus (3)

• Calabi-Yau compactifications of toric Landau-Ginzburg models for smooth Fano threefolds
• Formal Bott-Thurston cocycle and part of a formal Riemann-Roch theorem
• Relative Milnor $K$-groups and differential forms of split nilpotent extensions