Families of supersingular abelian surfaces
Toshiyuki Katsura, Frans Oort (1987)
Compositio Mathematica
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Toshiyuki Katsura, Frans Oort (1987)
Compositio Mathematica
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Gunther Cornelissen, Frans Oort (2005)
Rendiconti del Seminario Matematico della Università di Padova
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In the week of August, 16th-20th of 2004, we organized a workshop about “Automorphisms of Curves” at the Lorentz Center in Leiden. The programme included two “problem sessions”. Some of the problems presented at the workshop were written down; this is our edition of these refereed and revised papers. Edited by Gunther Cornelissen and Frans Oort with contributions of I. Bouw; T. Chinburg; G. Cornelissen; C. Gasbarri; D. Glass; C. Lehr; M. Matignon; F. Oort; R. Pries; S. Wewers. ...
Dan Abramovich, Joe Harris (1991)
Compositio Mathematica
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Jennifer Paulhus (2008)
Acta Arithmetica
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Nils Bruin, E. Victor Flynn, Damiano Testa (2014)
Acta Arithmetica
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We give a parametrization of curves C of genus 2 with a maximal isotropic (ℤ/3)² in J[3], where J is the Jacobian variety of C, and develop the theory required to perform descent via (3,3)-isogeny. We apply this to several examples, where it is shown that non-reducible Jacobians have non-trivial 3-part of the Tate-Shafarevich group.
David Eisenbud, Joe Harris (1989)
Annales scientifiques de l'École Normale Supérieure
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Fabio Bardelli, Ciro Ciliberto, Alessandro Verra (1995)
Compositio Mathematica
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Matthew England, Chris Athorne (2012)
Open Mathematics
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We consider multiply periodic functions, sometimes called Abelian functions, defined with respect to the period matrices associated with classes of algebraic curves. We realise them as generalisations of the Weierstraß ℘-function using two different approaches. These functions arise naturally as solutions to some of the important equations of mathematical physics and their differential equations, addition formulae, and applications have all been recent topics of study. The first approach...
Maisner, Daniel, Nart, Enric (2002)
Experimental Mathematics
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