3 papers
math.AG2026
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…
math.AG2026
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…
math.AG2026
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…