JEDNOSTKA NAUKOWA KATEGORII A+

# Wydawnictwa / Czasopisma IMPAN / Annales Polonici Mathematici / Wszystkie zeszyty

## The principle of moduli flexibility for real algebraic manifolds

### Tom 109 / 2013

Annales Polonici Mathematici 109 (2013), 1-28 MSC: Primary 14P20; Secondary 14P05, 14P25. DOI: 10.4064/ap109-1-1

#### Streszczenie

Given a real closed field $R$, we define a real algebraic manifold as an irreducible nonsingular algebraic subset of some $R^n$. This paper deals with deformations of real algebraic manifolds. The main purpose is to prove rigorously the reasonableness of the following principle, which is in sharp contrast with the compact complex case: “The algebraic structure of every real algebraic manifold of positive dimension can be deformed by an arbitrarily large number of effective parameters”.

#### Autorzy

• Edoardo BallicoDepartment of Mathematics
University of Trento
38123 Povo-Trento, Italy
e-mail
• Riccardo GhiloniDepartment of Mathematics
University of Trento
38123 Povo-Trento, Italy
e-mail

## Przeszukaj wydawnictwa IMPAN

Zbyt krótkie zapytanie. Wpisz co najmniej 4 znaki.

Odśwież obrazek