The analytic spread of the ideal of a monomial curve in projective 3-space

  • Philippe Gimenez
  • Marcel Morales
  • Aron Simis
Part of the Progress in Mathematics book series (PM, volume 109)


Let k be an algebraically closed field and let C ⊂ An stand for a quasi homogeneous surface admitting a rational parametrization given by monomials. Consider the blowing-up A ñ of A n with center C and look at the fibre of the structural morphism
$$ \widetilde{{{\mathbb{A}^{2}}}} \to {\mathbb{A}^{n}} $$
over the origin 0 (the special fibre of the blowing-up).


Lexicographic Order Special Fiber Initial Ideal Analytic Spread Structural Morphism 
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Copyright information

© Birkhäuser Boston 1993

Authors and Affiliations

  • Philippe Gimenez
    • 1
  • Marcel Morales
    • 1
  • Aron Simis
    • 2
  1. 1.Université de Grenoble IInstitut FourierSt. Martin d’Hères CedexFrance
  2. 2.Instituto de MatemáticaUniversidade Federal da BahiaSalvador, BahiaBrazil

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