Alex Massarenti

Birational aspects of the geometry of Varieties of Sums of Powers

Abstract Varieties of Sums of Powers describe the additive decompositions of a homogeneous polynomial into powers of linear forms. The study of these varieties dates back to Sylvester and Hilbert, but only few of them, for special degrees and number of variables, are concretely identified. In this paper we aim to understand a general birational behavior of VSP . To do this we birationally embed these varieties into Grassmannians and prove the rational connectedness of many VSP in arbitrary degrees and number of variables.

Explicit log Fano structures on blow‐ups of projective spaces

In this paper we determine which blow-ups

The automorphism group of M̄g,n

X

On the Automorphisms of Moduli Spaces of Curves

of

Effective identifiability criteria for tensors and polynomials

\mathbb{P}^n

MODULI OF ABELIAN SURFACES, SYMMETRIC THETA STRUCTURES AND THETA CHARACTERISTICS

at general points are log Fano, that is, when there exists an effective

The Automorphisms group of \bar{M}_{g,n}

\mathbb{Q}

Covered by lines and Conic connected varieties

-divisor

Spherical blow-ups of Grassmannians and Mori dream spaces

\Delta

On the biregular geometry of the Fulton–MacPherson compactification

such that