On semialgebraic tangent cones

• Autorzy: Fortuna E.
• Języki publikacji: EN

Abstrakty

EN

The paper deals with the following question: which semialgebraic subsets of [R^n] can be realized as tangent cones to real algebraic subsets of [R^n]? At first we prove that the answer is positive for every closed semialgebraic cone in [R^n] of dimension [is less than or equal to 2]. Then, for closed semialgebraic cones A in [R^n] admitting a sufficiently nice algebraic presentation, we explicitely give equations of an algebraic subset V [...] [R^n] having A as its tangent come.

Słowa kluczowe

EN

algebraic geometry; real analytic geometry; semialgebraic sets; tangent cones

PL

geometria algebraiczna; real algebraic geometry \@eng\; styczne stożkowe

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 1998
• Tom: Vol. 46, no 4
• Strony: 383--390
• Opis fizyczny: Bibliogr. 4 poz.,

Twórcy

autor

Fortuna E.