RT Journal Article
T1 A note on hyperplane sections of real algebraic sets
A1 Gamboa Mutuberria, José Manuel
AB The author studies the size of the set of hyperplanes which meet a non- zero-dimensional algebraic set V over a real-closed ground field R. More precisely, let us denote by $V\sb c$ the locus of central points of V, i.e., the closure, in the order topology of $R\sp n$, of the set of regular points of V. The author proves the following: There exists a linear isomorphism $\sigma$ of $R\sp n$ such that for every ``generic'' hyperplane H of $R\sp n$, either H meets $V\sb c$ or its transform by $\sigma$ meets $V\sb c$.
PB Sociedad Matemática Mexicana
SN 1405-213X
YR 1984
FD 1984
LK https://hdl.handle.net/20.500.14352/64705
UL https://hdl.handle.net/20.500.14352/64705
DS Docta Complutense
RD 4 may 2024