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Nel presente lavoro si studiano le applicazioni polinomiali proprie $φ : R^{n} \to R^{q} .$ In particolare si prova: 1) se $φ : R^{n} \to R$ è un'applicazione polinomiale tale che $φ^{- 1} (y)$ è compatto per ogni $y \in R$ , allora $φ$ è propria; 2) se $φ : R^{n} \to R^{q}$ è polinomiale a fibra compatta e $φ (R^{n})$ è chiuso in $R^{q}$ allora $φ$ è propria; 3) l'insieme delle applicazioni polinomiali proprie di $R^{n}$ in $R^{q}$ è denso, nella topologia $C^{\infty}$ , nello spazio delle applicazioni $C^{\infty}$ di $R^{n}$ in $R^{q}$ .

Some remarks on compactifications of commutative algebraic groups.

F. Knop, H. Lange (1985)

Commentarii mathematici Helvetici

Some remarks on minimal models I

P. Francia (1980)

Compositio Mathematica

Some remarks on plane curves over fields of finite characteristic

Rita Pardini (1986)

Compositio Mathematica

Some remarks on the study of good contractions.

M. Andreatta (1995)

Manuscripta mathematica

Some stucture theorems for semi-simple representations of ... of algebraic manifolds.

Kang Zuo (1993)

Mathematische Annalen

Sous-groupes algébriques de rang maximum du groupe de Cremona

Michel Demazure (1970)

Annales scientifiques de l'École Normale Supérieure

Special linear systems and syzygies

Alberto Alzati (2008)

Collectanea Mathematica

Spécialisation des revêtements en caractéristique $p > 0$

Michel Raynaud (1999)

Annales scientifiques de l'École Normale Supérieure

Stability and equivariant maps.

Zinovy Reichstein (1989)

Inventiones mathematicae

Stable affine models for algebraic group actions.

Reichstein, Zinovy, Vonessen, Nikolaus (2004)

Journal of Lie Theory

Stable cohomology of alternating groups

Fedor Bogomolov, Christian Böhning (2014)

Open Mathematics

We determine the stable cohomology groups ( $H_{S}^{i} (𝔄_{n}, ℤ / p ℤ)$ of the alternating groups $𝔄_{n}$ for all integers n and i, and all odd primes p.

Stein open subsets with analytic complements in compact complex spaces

Jing Zhang (2015)

Annales Polonici Mathematici

Let Y be an open subset of a reduced compact complex space X such that X - Y is the support of an effective divisor D. If X is a surface and D is an effective Weil divisor, we give sufficient conditions so that Y is Stein. If X is of pure dimension d ≥ 1 and X - Y is the support of an effective Cartier divisor D, we show that Y is Stein if Y contains no compact curves, $H^{i} (Y,_{Y}) = 0$ for all i > 0, and for every point x₀ ∈ X-Y there is an n ∈ ℕ such that $Φ_{| n D |}^{- 1} (Φ_{| n D |} (x ₀)) \cap Y$ is empty or has dimension 0, where $Φ_{| n D |}$ is the map from...

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Some Algebraicity Criteria for Singular Surfaces.

Some birational maps of Fano 3-folds

Some boundedness results for Fano-like Moishezon manifolds.

Some Projective Concentration Theorems.

Some remarks about proper real algebraic maps