A note on the Nullstellensatz for c-holomorphic functions

• Autorzy: Maciej P. Denkowski
• Języki publikacji: EN

Abstrakty

EN

We begin this article with a graph theorem and a kind of Nullstellensatz for weakly holomorphic functions. This yields a general Nullstellensatz for c-holomorphic functions on locally irreducible sets. In Section 2 some methods of Płoski-Tworzewski permit us to prove an effective Nullstellensatz for c-holomorphic functions in the case of a proper intersection with the degree of the intersection cycle as exponent. We also extend this result to the case of isolated improper intersection, generalizing a result of E. Cygan. The last section is devoted to some considerations on the dimension of the zero-sets of c-holomorphic mappings.

Kategorie tematyczne

• 32A17: Special families of functions
• 32B15: Analytic subsets of affine space

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2007
• Tom: 90
• Numer: 3
• Strony: 219-228

Daty

wydano

2007

Twórcy

autor

Maciej P. Denkowski

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland
• Institut de Mathématiques de Bordeaux, Université Bordeaux 1, 351, cours de la Libération, 33405 Talence, France

Identyfikatory

DOI

10.4064/ap90-3-3