4 citations · 9 across the 10 of their papers we have counts for
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Explicit birational models of marked elliptic surfaces of relative degree two
Sönke Rollenske, Anna Ulivi, Aline Zanardini
We introduce explicit construction methods for two distinct birational models of elliptic surfaces equipped with a bisection --- or, more generally, a relative polarisation of degr…
Nets of quadric surfaces and plane cubics and their GIT stability
Masafumi Hattori, Theodoros Stylianos Papazachariou, Aline Zanardini
A general net of quadric surfaces, together with a choice of a base point, defines a net of plane cubics via the Gale transformation of the remaining seven base points. To both net…
Rational elliptic surfaces with six singular double fibres
Ciro Ciliberto, Antonella Grassi, Rick Miranda +2
A rational elliptic surface with section is a smooth, rational, complex, projective surface that admits a relatively minimal fibration $f: \mathcal{X}\longrightarrow…
On the GIT stability of linear systems of hypersurfaces in projective space
Masafumi Hattori, Aline Zanardini
We consider the problem of classifying linear systems of hypersurfaces (of a fixed degree) in some projective space up to projective equivalence via geometric invariant theory (GIT…
Non-symplectic automorphisms of order multiple of seven on K3 surfaces
Renee Bell, Paola Comparin, Jennifer Li +3
In this paper we present a classification of non-symplectic automorphisms of K3 surfaces whose order is a multiple of seven by describing the topological type of their fixed locus.…
The moduli space of rational elliptic surfaces of index two
Rick Miranda, Aline Zanardini
In this paper we construct a moduli space for marked rational elliptic surfaces of index two as a non-complete toric variety of dimension nine. We also construct compactifications…
Stability of pencils of plane sextics and Halphen pencils of index two
Aline Zanardini
We study the stability of pencils of plane sextics in the sense of geometric invariant theory. In particular, we obtain a complete and geometric description of the stability of Hal…
Stability of pencils of plane curves, log canonical thresholds and multiplicities
Aline Zanardini
In this paper we study the problem of classifying pencils of curves of degree in using geometric invariant theory. We consider the action of and we relat…
Explicit Constructions of Halphen Pencils
Aline Zanardini
We construct rational elliptic surfaces of index two by explicitly constructing their associated Halphen pencils in the projective plane . For each of the types of si…