%0 Journal Article 
%A Recio, Tomás
%A Sendra Pons, Juan Rafael
%A Tabera, Luis Felipe
%A Villarino Cabellos, Carlos
%T Ultraquadrics associated to affine and projective automorphims
%D 2014
%@ 0938-1279
%U http://hdl.handle.net/10017/20455
%X In this extended abstract, we study the properties of ultraquadrics associated with automorphisms of the field K(\alpha )(t1, . . . , tn), defined by linear rational (with common denominator)
or by polynomial (with polynomial inverse) coordinates. We conclude that ultraquadrics related to
polynomial automorphisms can be characterized as varieties K−isomorphic to linear varieties, while
ultraquadrics arising from projective automorphisms are isomorphic to the Segre embedding of a
blowup of the projective space along an ideal and, in some general case, linearly isomorphic to a toric
variety. This information helps us to compute a parametrization of some ultraquadrics.
%K Ultraquadrics
%K Parametrization
%K Polynomial automorphims
%K Rational parametrization
%K Field automorphisms
%K Optimal reparameterization
%K Ciencia
%K Matemáticas
%K Science
%K Mathematics
%~ Biblioteca Universidad de Alcala