Alex Massarenti

activity

20242026

collaborators

11 papers

math.AG2026

Mori theory and symplectic reduction for polygons and quivers

Alessia Mandini, Alex Massarenti

We investigate the birational geometry of moduli spaces of polygons and quivers, emphasizing the link between Mori theory and symplectic reduction. On the additive side we relate M…

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.AG2026

On K-stability of Fano's last Fanos

Ivan Cheltsov, DongSeon Hwang, Alex KÃ¼ronya +5

We study K-stability of smooth Fano threefolds of Picard rank $2$ and degree $22$ which can be obtained by blowing up a smooth complete intersection of two quadrics in $\mathbb{P}^…

math.AG2026

The moduli space of genus $8$ Fano $3$ -folds with two $\frac{1}{2} (1, 1, 1)$ -points: rationality and K-stability

Joseph Malbon, Alex Massarenti, Francesco Zucconi

Let $F_{8, 2 \times \frac{1}{2} (1, 1, 1)}$ be the moduli space of genus $8$ Fano $3$ -folds with two terminal quotient singularities of type $\frac{1}{2} (1, 1, 1)$ . We prove that $\mathca…

math.AG2026

Log-Conformal Projective Manifolds

MaurÃcio CorrÃªa, Alex Massarenti

Let $(X, I^)$ be a smooth complex projective simple normal crossing pair of dimension $n \geq 3$ endowed with an everywhere nondegenerate logarithmic conformal tensor. If $K_{X} + I^$ is…

math.AG2026

Compactifications of spaces of symmetric matrices and pointed Kontsevich spaces of isotropic Grassmannians

Hanlong Fang, Alex Massarenti, Xian Wu

We study two closely related families of varieties arising from genus $0$ stable maps to the Lagrangian Grassmannian $LG (n, 2 n)$ . First, we construct the Kausz--type…

Mori theory and symplectic reduction for polygons and quivers

Quadratic Cremona transformations of P4

On K-stability of Fano's last Fanos

The moduli space of genus 8 Fano 3-folds with two 21​(1,1,1)-points: rationality and K-stability

Log-Conformal Projective Manifolds

Compactifications of spaces of symmetric matrices and pointed Kontsevich spaces of isotropic Grassmannians

Quadratic Cremona transformations of $P^{4}$

The moduli space of genus $8$ Fano $3$ -folds with two $\frac{1}{2} (1, 1, 1)$ -points: rationality and K-stability