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Moduli of Curves and Abelian Varieties: The Dutch Intercity Seminar on Moduli (Aspects of Mathematics, Band 33) - Softcover

 
9783322901743: Moduli of Curves and Abelian Varieties: The Dutch Intercity Seminar on Moduli (Aspects of Mathematics, Band 33)

Inhaltsangabe

Aktuelle Algebraische Geometrie

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Über die Autorin bzw. den Autor

Prof. Dr. Eduard Looijenga ist Mathematiker an der Universität Utrecht, Niederlande.<br><br>Dr. Carel Faber ist jetzt am Max-Planck-Institut für Mathematik in Bonn tätig.

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The Dutch Intercity Seminar on Moduli, which dates back to the early <br>eighties, was an initiative of G. van der Geer, F. Oort and C. Peters. <br>Through the years it became a focal point of Dutch mathematics and <br>it gained some fame, also outside Holland, as an active biweekly <br>research seminar. The tradition continues up to today.<br>The present volume, with contributions of R. Dijkgraaf, C. Faber,<br>G. van der Geer, R. Hain, E. Looijenga, and F. Oort, originates <br>from the seminar held in 1995--96. Some of the articles here were <br>discussed, in preliminary form, in the seminar; others are completely <br>new. Two introductory papers, on moduli of abelian varieties and <br>on moduli of curves, accompany the articles. <br>Topics include a stratification of a moduli space of abelian varieties <br>in positive characteristic, and the calculation of the classes of the <br>strata, tautological classes for moduli of abelian varieties as well as <br>for moduli of curves, correspondences between moduli spaces of curves, <br>locally symmetric families of curves and jacobians, and the role of <br>symmetric product spaces in quantum field theory, string theory and <br>matrix theory.

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