منابع مشابه
Symplectic Automorphisms on Kummer Surfaces
Nikulin proved that the isometries induced on the second cohomology group of a K3 surface X by a finite abelian group G of symplectic automorphisms are essentially unique. Moreover he computed the discriminant of the sublattice of H(X,Z) which is fixed by the isometries induced by G. However for certain groups these discriminants are not the same of those found for explicit examples. Here we de...
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In 1899, Hutchinson [Hut99] presented a way to obtain a threeparameter family of Hessians of cubic surfaces as blowups of Kummer surfaces. We show that this family consists of those Hessians containing an extra class of conic curves. Based on this, we find the invariant of a cubic surface C in pentahedral form that vanishes if its Hessian is in Hutchinson’s family, and we give an explicit map b...
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is the closure of the locus parametrizing H22-invariant quartics with 16 skew lines. The smooth surfaces of this type are parametrized by a non-empty open set N s of N . These surfaces are Kummer surfaces associated to abelian surfaces with a (1,3)–polarization. The action of the Heisenberg group on the Kummer surface corresponds to a level-2 structure on the abelian surface. If A is an abelian...
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ژورنال
عنوان ژورنال: Hokkaido Mathematical Journal
سال: 1991
ISSN: 0385-4035
DOI: 10.14492/hokmj/1381413848