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oai:docta.ucm.es:20.500.14352/647052024-02-29T18:50:50Zcom_20.500.14352_14col_20.500.14352_15

A note on hyperplane sections of real algebraic sets Gamboa Mutuberria, José Manuel 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 $V\sb c$. 2023-06-21T02:02:51Z 2023-06-21T02:02:51Z 1984 journal article 1405-213X https://hdl.handle.net/20.500.14352/64705 metadata only access Sociedad Matemática Mexicana