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Startpage > News > Calendar of Events > Moduli of abelian covers

Veranstaltungskalender

Moduli of abelian covers of elliptic curves

Oberseminar Algebraische und Arithmetrische Geometrie, 15.11.12

Kurzbeschreibung

For G any fixed finite abelian group, we study moduli of ramified G-covers of elliptic curves. We show an explicit description of it as a complement of divisors in the iterated universal curve over a modular curve. From this description, we obtain explicit lower bounds for the Kodaira dimension of each component of the moduli space. In the totally ramified case, we prove that the moduli space is birational to a moduli space of elliptic curves with marked points, and that its rational Picard group vanishes. In the case of moduli of bielliptic curves, we can also prove that the boundary divisors are a basis for the rational Picard group of the admissible coverings compactification. Our motivation and methods come from the Gromov-Witten theory of orbifolds, a topic of research that has been very fertile in recent years, particularly for the genus 1 case.

Weitere Informationen

www.iag.uni-hannover.de/de/oberseminar/index.php

Referent/innen

Nicola Pagani (Leibniz Universität)

Veranstalter

Institut fĂźr Algebraische Geometrie

Termin

Donnerstag, 15. November 2012, 16:00 bis 17:00 Uhr

Ort

Hauptgebäude (Gebäude 1101, G117)
Welfengarten 1, 30167 Hannover

Ein Verschieben des Kartenausschnitts ist mit gedrückter Maustaste möglich.

Die Karte wurde uns freundlicherweise von Herrn Dr. Tobias Dahinden, Institut für Kartographie und Geoinformatik zur Verfügung gestellt.


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