B. Riemann [68] showed that the conformal structure of a Riemann surface of genus g > 1 is determined by 3g - 3 parameters, which he proposed to name “moduli”. Following A. Grothendieck and D. Mumford [59] we will consider “algebraic moduli” in this monograph. To give a flavor of the results we are interested in, let us recall D. Mumford’s strengthening of B. Riemann’s statement.


Abelian Variety Hilbert Scheme Projective Manifold Kodaira Dimension Invertible Sheaf 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Eckart Viehweg
    • 1
  1. 1.Fachbereich 6, MathematikUniversität-Gesamthochschule EssenEssenGermany

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