Displaying similar documents to “Some remarks about proper real algebraic maps”

The boundedness of singular subvarieties of P N not of a general type and with low codimension

E. Ballico (2000)

Bollettino dell'Unione Matematica Italiana

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Sia X P N una varietà irriducibile n -dimensionale localmente Cohen-Macaulay, Q -Gorenstein e non di tipo generale; assumiamo N = 6 , 2 n = N + 2 e dim Sing X = 2 n - N . In questo lavoro dimostriamo che deg X N + 1 N - n e quindi che l'insieme di tutte queste varietà è parametrizzato da un insieme finito di varietà algebriche.

Levi's forms of higher codimensional submanifolds

Andrea D'Agnolo, Giuseppe Zampieri (1991)

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

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Let X C n , let M be a C 2 hypersurface of X , S be a C 2 submanifold of M . Denote by L M the Levi form of M at z 0 S . In a previous paper [3] two numbers s ± S , p , p T ˙ S * X z 0 are defined; for S = M they are the numbers of positive and negative eigenvalues for L M . For S M , p S × M T ˙ * S X ) , we show here that s ± S , p are still the numbers of positive and negative eigenvalues for L M when restricted to T z 0 C S . Applications to the concentration in degree for microfunctions at the boundary are given.

Module-valued functors preserving the covering dimension

Jan Spěvák (2015)

Commentationes Mathematicae Universitatis Carolinae

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We prove a general theorem about preservation of the covering dimension dim by certain covariant functors that implies, among others, the following concrete results. If G G is a pathwise connected...

Intermediate domains between a domain and some intersection of its localizations

Mabrouk Ben Nasr, Noômen Jarboui (2002)

Bollettino dell'Unione Matematica Italiana

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In this paper, we deal with the study of intermediate domains between a domain R and a domain T such that T is an intersection of localizations of R , namely the pair R , T . More precisely, we study the pair R , R d and the pair R , R ~ , where R d = R M M Max R , h t M = dim R and R ~ = R M M Max R , h t M 2 . We prove that, if R is a Jaffard domain, then R , R d n is a Jaffard pair, which generalize [5, Théorème 1.9]. We also show that if R is an S -domain, then R , R ~ is a residually algebraic pair (that is for each intermediate domain S between R and R ~ , if Q is a prime...

On the space of morphisms into generic real algebraic varieties

Riccardo Ghiloni (2006)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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We introduce a notion of generic real algebraic variety and we study the space of morphisms into these varieties. Let Z be a real algebraic variety. We say that Z is generic if there exist a finite family { D i } i = 1 n of irreducible real algebraic curves with genus 2 and a biregular embedding of Z into the product variety i = 1 n D i . A bijective map ϕ : Z ˜ 1 Z from a real algebraic variety Z ˜ to Z is called weak change of the algebraic structure of  Z if it is regular and its inverse is a Nash map. Generic real algebraic...