3 papers
math.AG2005
Toral Algebraic Sets and Function Theory on Polydisks
Jim Agler, John McCarthy, Mark Stankus
A toral algebraic set is an algebraic set in $\C^n$ whose intersection with $\T^n$ is sufficiently large to determine the holomorphic functions on . We develop the theory of…
math.CV2005
Parametrizing distinguished varieties
Jim Agler, JOhn E. McCarthy
A distinguished variety is a variety that exits the bidisk through the distinguished boundary. We look at the moduli space for distinguished varieties of rank (2,2).
math.FA2005
Distinguished Varieties
Jim Agler, John McCarthy
A distinguished variety is a variety that exits the bidisk through the distinguished boundary. We show that Ando's inequality for commuting matrix contractions can be sharpened to…