B. Riemann  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  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.
KeywordsAbelian Variety Hilbert Scheme Projective Manifold Kodaira Dimension Invertible Sheaf
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