Enriques surfaces with eight nodes
نویسندگان
چکیده
منابع مشابه
Around real Enriques surfaces
We present a brief overview of the classiication of real Enriques surfaces completed recently and make an attempt to systemize the known clas-siication results for other special types of surfaces. Emphasis is also given to the particular tools used and to the general phenomena discovered; in particular , we prove two new congruence type prohibitions on the Euler characteristic of the real part ...
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N. Hitchin [H] proved that the Euler characteristic χ(E) and signature σ(E) of a compact orientable 4-dimensional Einstein manifold E satisfy the inequality |σ(E)| 6 2 3χ(E), the equality holding only if either E is flat or the universal covering X of E is a K3-surface and π1(E) = 1, Z/2, or Z/2× Z/2. In the latter cases, E is a K3-surface if π1 = 1, an Enriques surface if π1 = Z/2, or the quot...
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In a series of works [Bo3-5], Borcherds developed a theory of modular forms over domains of type IV which admits an infinite product expansion. Among such modular forms, Borcherds’s Φ-function ([Bo4]) has an interesting geometric background; It is a modular form on the moduli space of Enriques surfaces characterizing the discriminant locus. In his construction, Φ-function is obtained as the den...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2002
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-002-0432-8