K3-surfaces with Picard number 2

@article{Wehler1988K3surfacesWP,
title={K3-surfaces with Picard number 2},
author={Joachim Wehler},
journal={Archiv der Mathematik},
year={1988},
volume={50},
pages={73-82}
}
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References

SHOWING 1-7 OF 7 REFERENCES

Automorphisms of Enriques surfaces

• Mathematics
• 1983
O. Introduction The aim of this note is to compute the group Aut(Y) of (biholomorphic) auto- morphisms for the general Enriques surface Y. The basic tool is the global To- relli theorem for

Cyclic coverings: Deformation and Torelli theorem

0.1. In 1968 Wavrik [20] studied cyclic branched coverings of compact complex manifolds. He obtained a criterion that every small deformation of the total space is again a covering of the base. Then

On automorphisms of Enriques surfaces

An Enriques surface over an algebraically closed field k of characteristic 4=2 is a nonsingular projective surface F with Hi(F, (gv)= H2(F, Or)=0, 2Kv=0. The unramified double cover of F defined by

A TORELLI THEOREM FOR ALGEBRAIC SURFACES OF TYPE K3

• Mathematics
• 1971
In this paper it is proved that an algebraic surface of type K3 is uniquely determined by prescribing the integrals of its holomorphic differential forms with respect to a basis of cycles of the