125 citations · 648 across the 34 of their papers we have counts for
40 papers
Bounds on the Mordell-Weil rank of elliptic fibrations
Antonella Grassi, Rick Miranda, Kapil Paranjape +2
We prove that the Mordell-Weil group of a higher dimensional elliptic fibration naturally embeds into that of a suitable elliptic surface. We give sufficient conditions for the exi…
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…
Chiral global embedding of Fibre Inflation with uplift
Michele Cicoli, Antonella Grassi, Osmin Lacombe +1
We carefully analyse the challenges posed by the construction of type IIB chiral global embeddings of Fibre Inflation with uplift to a de Sitter vacuum. We pre…
Spectrum bounds in geometry
Antonella Grassi
Filipazzi, Hacon and Svaldi proved that there are only finitely many topological types of elliptically fibered Calabi-Yau threefolds. We explore the implications of their results o…
Reflexive polygons and rational elliptic surfaces
Antonella Grassi, Giulia Gugiatti, Wendelin Lutz +1
In this note we study in detail the geometry of eight rational elliptic surfaces naturally associated to the sixteen reflexive polygons. The elliptic fibrations supported by these…
D Anomaly-Free Matter Spectrum in F-theory on Singular Spaces
Antonella Grassi, James Halverson, Cody Long +3
In this paper we study the 6d localized charged matter spectrum of F-theory directly on a singular elliptic Calabi-Yau 3-fold, i.e. without smoothing via resolution or deformation…