G. Grassi

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math.AG2026

Quadratic Cremona transformations of $P^{4}$

Gianluca Grassi, Alex Massarenti

We prove that $B i r_{2} (P^{4})$ has exactly nine irreducible components and that the locus of transformations with zero-dimensional base scheme is irreducible.

math.AG2025

On the arithmetic of rational hypersurfaces in toric varieties

Gianluca Grassi

In the toric variety $T$ , with Cox ring graded by $° (z_{2 i}) = (1, - 1, 0)$ , $° (z_{2 i + 1}) = (1, 0, - 1)$ and $° (w_{\pm}) = (0, 1, 0), (0, 0, 1)$ , we study hypersurfaces $\widetilde{X}^{2n}\…

Quadratic Cremona transformations of P4

On the arithmetic of rational hypersurfaces in toric varieties

Quadratic Cremona transformations of $P^{4}$