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Ultraquadrics associated to affine and projective automorphims

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  • معلومة اضافية
    • Contributors:
      Universidad de Alcalá. Departamento de Física y Matemáticas. Unidad docente Matemáticas
    • بيانات النشر:
      Springer
    • الموضوع:
      2014
    • Collection:
      e_Buah - Biblioteca Digital de la Universidad de Alcalá
    • نبذة مختصرة :
      J. R. Sendra and C. Villarino are members of the research group ASYNACS (Ref. CCEE2011/R34). ; 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. ; Ministerio de Ciencia e Innovación
    • File Description:
      application/pdf
    • ISBN:
      978-84-697-0651-0
      84-697-0651-9
    • ISSN:
      0938-1279
    • Relation:
      http://www.ub.edu/eaca2014/2014_EACA_Conference_Proceedings.pdf; http://dx.doi.org/10.1007/s00200-014-0236-1; info:eu-repo/grantAgreement/MICINN//MTM2011-25816-C02-01/ES/ALGORITMOS Y APLICACIONES EN GEOMETRIA DE CURVAS Y SUPERFICIES/; http://hdl.handle.net/10017/20455
    • الرقم المعرف:
      10.1007/s00200-014-0236-1
    • Rights:
      © Springer, 2014 ; info:eu-repo/semantics/openAccess
    • الرقم المعرف:
      edsbas.B036244C