We present a version of Bézout's theorem basing on the intersection theory in complex analytic geometry. Some applications for products of surfaces and curves are also given.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap87-0-18,
author = {S\l awomir Rams and Piotr Tworzewski and Tadeusz Winiarski},
title = {A note on B\'ezout's theorem},
journal = {Annales Polonici Mathematici},
volume = {85},
year = {2005},
pages = {219-227},
zbl = {1122.13004},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap87-0-18}
}
Sławomir Rams; Piotr Tworzewski; Tadeusz Winiarski. A note on Bézout's theorem. Annales Polonici Mathematici, Tome 85 (2005) pp. 219-227. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap87-0-18/