Curves of genus 2 with elliptic differentials

Survey Articles and Lectures

• Curves of genus 2 with elliptic differentials and associated Hurwitz spaces (with G.Frey). June 2008, 70pp.
  Abstract:   (not available)     Preprint:   dvi file   or   pdf file.

Conference Presentations and Lectures

• A Galois theory for elliptic subfields of a genus 2 function field.
  AMS Conference Durham, New Hampshire , 22-23 April, 2006.
• The number of covers of an elliptic curve.
  AMS Conference Chapel Hill, North Carolina , 24-25 October, 2003.

Research Articles and Preprints

• The number of genus 2 covers of an elliptic curve. EF="papers/exgenl.pdf"> 121 (2006), 51-80.
  Abstract:   pdf-file     Preprint:   dvi file   or   pdf file.
• The existence of curves of genus 2 with elliptic differentials. J. Number Theory 64 (1997) 130-161.
  Preprint:   dvi-file   or   pdf-file
• The number of curves of genus 2 with elliptic differentials. J. reine angew. Math. 485 (1997) 93-121.
  Preprint:   dvi-file   or   pdf-file
• Elliptic curves on abelian surfaces. Manuscripta Mathematica 84 (1994), 199-223.
  Preprint:   dvi-file   or   pdf-file
• Curves of genus 2 covering elliptic curves and an arithmetical application (with G. Frey). In: Arithmetic Algebraic Geometry (G. van der Geer, F. Oort, J. Steenbrink, eds.), Progress in Math. 89, Birkhauser Boston, 1990, 153-176.

Related Articles, Preprints and Lectures

• See Hurwitz spaces (of genus 2 covers)
• Jacobians isomorphic to a product of two elliptic curves. July 2008, 38pp.
  Abstract:   (not available)     Preprint:   dvi file   or   pdf file.