Infinite-dimensional complex projective spaces and complete intersections

Ballico, Edoardo. "Infinite-dimensional complex projective spaces and complete intersections." Mathematica Bohemica 131.4 (2006): 419-425. <http://eudml.org/doc/249892>.

@article{Ballico2006,
abstract = {Let $V$ be an infinite-dimensional complex Banach space and $X \subset \{\mathbf \{P\}\}(V)$ a closed analytic subset with finite codimension. We give a condition on $X$ which implies that $X$ is a complete intersection. We conjecture that the result should be true for more general topological vector spaces.},
author = {Ballico, Edoardo},
journal = {Mathematica Bohemica},
keywords = {infinite-dimensional complex projective space; infinite-dimensional complex manifold; complete intersection; complex Banach space; complex Banach manifold; complex Banach space; complex Banach manifold},
language = {eng},
number = {4},
pages = {419-425},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Infinite-dimensional complex projective spaces and complete intersections},
url = {http://eudml.org/doc/249892},
volume = {131},
year = {2006},
}

TY - JOUR
AU - Ballico, Edoardo
TI - Infinite-dimensional complex projective spaces and complete intersections
JO - Mathematica Bohemica
PY - 2006
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 131
IS - 4
SP - 419
EP - 425
AB - Let $V$ be an infinite-dimensional complex Banach space and $X \subset {\mathbf {P}}(V)$ a closed analytic subset with finite codimension. We give a condition on $X$ which implies that $X$ is a complete intersection. We conjecture that the result should be true for more general topological vector spaces.
LA - eng
KW - infinite-dimensional complex projective space; infinite-dimensional complex manifold; complete intersection; complex Banach space; complex Banach manifold; complex Banach space; complex Banach manifold
UR - http://eudml.org/doc/249892
ER -