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On the motive of a quotient variety.

Sebastián del Baño Rollin, Vicente Navarro Aznar (1998)

Collectanea Mathematica

We show that the motive of the quotient of a scheme by a finite group coincides with the invariant submotive.

On the Noether exponent

Anna Stasica (2003)

Annales Polonici Mathematici

We obtain, in a simple way, an estimate for the Noether exponent of an ideal I without embedded components (i.e. we estimate the smallest number μ such that ( r a d I ) μ I ).

On the space of real algebraic morphisms

Riccardo Ghiloni (2003)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

In this Note, we announce several results concerning basic properties of the spaces of morphisms between real algebraic varieties. Our results show a surprising intrinsic rigidity of Real Algebraic Geometry and illustrate the great distance which, in some sense, exists between this geometry and Real Nash one. Let us give an example of this rigidity. An affine real algebraic variety X is rigid if, for each affine irreducible real algebraic variety Z , the set of all nonconstant regular morphisms from...

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