A note on the Nullstellensatz for c-holomorphic functions

Maciej P. Denkowski. "A note on the Nullstellensatz for c-holomorphic functions." Annales Polonici Mathematici 90.3 (2007): 219-228. <http://eudml.org/doc/280445>.

@article{MaciejP2007,
abstract = {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.},
author = {Maciej P. Denkowski},
journal = {Annales Polonici Mathematici},
keywords = {complex analytic sets; c-holomorphic and weakly holomorphic mappings; Nullstellensatz; intersection theory},
language = {eng},
number = {3},
pages = {219-228},
title = {A note on the Nullstellensatz for c-holomorphic functions},
url = {http://eudml.org/doc/280445},
volume = {90},
year = {2007},
}

TY - JOUR
AU - Maciej P. Denkowski
TI - A note on the Nullstellensatz for c-holomorphic functions
JO - Annales Polonici Mathematici
PY - 2007
VL - 90
IS - 3
SP - 219
EP - 228
AB - 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.
LA - eng
KW - complex analytic sets; c-holomorphic and weakly holomorphic mappings; Nullstellensatz; intersection theory
UR - http://eudml.org/doc/280445
ER -