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In this paper we classify curves of genus two over a perfect field k of characteristic two. We find rational models of curves with a given arithmetic structure for the ramification divisor and we give necessary and sufficient conditions for two models of the same type to be k-isomorphic. As a...
We introduce the concept of s–formal minimal model as an extension of formality. We prove that any orientable compact manifold M, of dimension 2n or (2n−1), is formal if and only if M is (n−1)–formal. The formality and the hard Lefschetz property are studied for the Donaldson submanifolds of...
In this paper we study the eigenvalue problem
Let [InlineMediaObject not available: see fulltext.] be a regular arithmetic surface. Assume that for all irreducible curves [InlineMediaObject not available: see fulltext.] there are given open normal subgroups of π
1(C), which fulfill a compatibility condition at all closed points x ∈...
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