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Trascendental Lattices of some K3-surfaces
Alessandra Sarti
In a previous paper, math.AG/0409419, we described six families of K3-surfaces with Picard-number 19, and we identified surfaces with Picard-number 20. In these notes we classify s…
Contraction of excess fibres between the McKay correspondences in dimensions two and three
Samuel Boissiere, Alessandra Sarti
The quotient singularities of dimensions two and three obtained from polyhedral groups and the corresponding binary polyhedral groups admit natural resolutions of singularities as…
On varieties which are uniruled by lines
A. L. Knutsen, C. Novelli, A. Sarti
Using the -minimal model program of uniruled varieties we show that for any pair consisting of a reduced and irreducible variety of dimension and a…
Group Actions, Cyclic Coverings and Families of K3-Surfaces
Alessandra Sarti
In this paper we describe six pencils of K3-surfaces which have large Picard-Number and contain precisely five singular fibers: four have A-D-E singularities and one is non-reduced…
A geometrical construction for the polynomial invariants of some reflection groups
Alessandra Sarti
In these notes we investigate the rings of real polynomials in four variables, which are invariant under the action of the reflectiongroups [3,4,3] and [3,3,5]. It is well known th…
Polynomial Invariants of the Heisenberg Group with extra Symmetries
Alessandra Sarti
Let denote a finite subgroup containing the Heisenberg group. In these notes we classify all these groups, we find the dimension of the spaces of -invariant pol…