12 citations · 25 across the 8 of their papers we have counts for
7 papers · 1 filter
Moduli of Curves and Spin Structures via Algebraic Geometry
Gilberto Bini, Claudio Fontanari
Here we investigate some birational properties of two collections of moduli spaces, namely moduli spaces of (pointed) stable curves and of (pointed) spin curves. In particular, we…
Osculating spaces to secant varieties
E. Ballico, C. Bocci, E. Carlini +1
We generalize the classical Terracini's Lemma to higher order osculating spaces to secant varieties. As an application, we address with the so-called Horace method the case of the…
A Terracini Lemma for osculating spaces with applications to Veronese surfaces
Edoardo Ballico, Claudio Fontanari
Here we present a partial generalization to higher order osculating spaces of the classical Lemma of Terracini on ordinary tangent spaces. As an application, we investigate the sec…
Birational geometry of defective varieties
Edoardo Ballico, Claudio Fontanari
Here we investigate the birational geometry of projective varieties of arbitrary dimension having defective higher secant varieties. We apply the classical tool of tangential proje…
On the osculatory behaviour of higher dimensional projective varieties
Edoardo Ballico, Claudio Fontanari
Here we explore the geometry of the osculating spaces to projective varieties of arbitrary dimension. In particular, we classify varieties having very degenerate higher order oscul…
On a Lemma of Bompiani
Edoardo Ballico, Claudio Fontanari
We reprove in modern terms and extend to arbitrary dimension a classical result of Enrico Bompiani on algebraic surfaces $X \subset \PP^r$ having very degenerate osculating spaces.