## 56 Citations

### Canonical currents and heights for K3 surfaces

- Mathematics
- 2021

We construct canonical positive currents and heights on the boundary of the ample cone of a K3 surface. These are equivariant for the automorphism group and fit together into a continuous family,…

### Canonical vector heights on K3 surfaces with Picard number three - An argument for nonexistence

- MathematicsMath. Comput.
- 2004

In this paper, we investigate a K3 surface with Picard number three, and present evidence that strongly suggests a canonical vector height cannot exist on this surface.

### Structures on a K3 surface

- Mathematics
- 2010

Structures on a K3 Surface by Nathan P. Rowe Dr. Arthur Baragar, Examination Committe Chair Associate Professor of Mathematics University of Nevada, Las Vegas In the first part of this paper, we…

### OF INDEFINITE BINARY QUADRATIC FORMS AND K 3-SURFACES WITH PICARD

- Mathematics
- 2010

Every even indefinite binary form occurs as the Picard lattic e of some K3-surface. For these there is an explicit description for the group of is metries, orautomorphsas they are called in classical…

### Automorphs of indefinite binary quadratic forms and K3-surfaces with Picard number 2

- Mathematics
- 2010

Every indefinite binary form occurs as the Picard lattice of some K3-surface. The group of its isometries, or automorphs, coincides with the automorphism group of the K3-surface, but only up to…

### PROJECTIVE MODELS OF K3 SURFACES WITH AN EVEN SET

- Mathematics
- 2006

The aim of this paper is to describe algebraic K3 surfaces with an even set of rational curves or of nodes. Their minimal possible Picard number is nine. We completely classify these K3 surfaces and…

### Automorphs of indefinite binary quadratic forms and K3-surfaces with Picard number 2

- Mathematics
- 2008

Every indefinite binary form occurs as the Picard lattice of some K3-surface. The group of its isometries, or automorphs, coincides with the automorphism group of the K3-surface, but only up to…

### Geometry of four-folds with three non-commuting involutions

- Mathematics
- 2013

In this paper we adapt some techniques developed for K3 surfaces, to study the geometry of a family of projective varieties in $\Pl_K^2 \times \Pl_K^2 \times \Pl_K^2$ defined as the intersection of a…

### K3 surfaces with Picard number two

- Mathematics
- 2022

It is known that the automorphism group of a K3 surface with Picard number two is either an infinite cyclic group or an infinite dihedral group when it is infinite. In this paper, we study the…

### Lectures on K3 Surfaces

- Mathematics
- 2016

Famous open conjectures, for example the conjectures of Calabi, Weil, and Artin–Tate, are discussed in general and for K3 surfaces in particular and each chapter ends with questions and open problems.

## 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

- Mathematics
- 1986

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

- Mathematics
- 1984

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…