Supersingular curves of genus two and class numbers
Tomoyoshi Ibukiyama, Toshiyuki Katsura, Frans Oort (1986)
Compositio Mathematica
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Tomoyoshi Ibukiyama, Toshiyuki Katsura, Frans Oort (1986)
Compositio Mathematica
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Maisner, Daniel, Nart, Enric (2002)
Experimental Mathematics
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Pol Vanhaecke (1994)
Compositio Mathematica
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Holzapfel, R. (2004)
Serdica Mathematical Journal
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2000 Mathematics Subject Classification: 11G15, 11G18, 14H52, 14J25, 32L07. We call a complex (quasiprojective) surface of hyperbolic type, iff – after removing finitely many points and/or curves – the universal cover is the complex two-dimensional unit ball. We characterize abelian surfaces which have a birational transform of hyperbolic type by the existence of a reduced divisor with only elliptic curve components and maximal singularity rate (equal to 4). We discover a...
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. ...
Tomasz Szemberg (1996)
Annales Polonici Mathematici
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Principally polarized abelian surfaces are the Jacobians of smooth genus 2 curves or of stable genus 2 curves of special type. In [S] we studied equations describing Kummer surfaces in the case of an irreducible principal polarization on the abelian surface. The aim of this note is to give a treatment of the second case. We describe intermediate Kummer surfaces coming from abelian surfaces carrying a product principal polarization. In Proposition 12 we give explicit equations of these...
Everett W. Howe, Enric Nart, Christophe Ritzenthaler (2009)
Annales de l’institut Fourier
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We give a complete answer to the question of which polynomials occur as the characteristic polynomials of Frobenius for genus- curves over finite fields.
David E. Rohrlich (1993)
Compositio Mathematica
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