Titlebook: Number Fields and Function Fields – Two Parallel Worlds; Gerard Geer,Ben Moonen,René Schoof Book 2005 Birkhäuser Boston 2005 Arithmetic.Fi

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rtices. Vortex filaments having extremely diverse dynamics are the most characteristic examples of such vortices. Notable examples, in particular, include such phenomena as self-inducted motion, various instabilities, wave generation, and vortex breakdown. These effects are typically ma- fested as a

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On a Problem of Miyaoka,able but such that the restriction to positive characteristic . is not strongly semistable for infinitely many prime numbers .. Moreover, under the hypothesis that there exist infinitely many Sophie Germain primes, there are also examples such that the density of primes with nonstrongly semistable r

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Uniformizing the Stacks of Abelian Sheaves,an be viewed as function field analogues of elliptic curves and hence are objects “of dimension 1.” Their higher dimensional generalizations are called abelian sheaves. In the analogy between function fields and number fields, abelian sheaves are counterparts of abelian varieties. In this article we

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Gerard Geer,Ben Moonen,René SchoofInvited articles by leading researchers explore various aspects of the parallel worlds of function fields and number fields.Topics range from Arakelov geometry, the search for a theory of varieties ov