Alberto Landi

activity

20232026

collaborators

10 papers

math.AG2026

Finite generation of relative log canonical algebras of semi-dlt pairs

Alberto Landi

We prove that the relative log canonical algebra of a semi-dlt pair $(X, Δ_{X})$ projective over a scheme $T$ is finitely generated, equivalently, that $(X, Δ_{X})$ admits a relative sta…

math.AG2026

Symmetry and solvability: Galois groups of equivariant enumerative problems

Thomas Brazelton, Alberto Landi, Sidhanth Raman

At the genesis of Galois theory at the end of the 19th century, enumerative geometers were concerned with the solvability of various problems: for instance whether one can express…

math.AG2026

K-theory of Weighted Blowups

Veronica Arena, Alessio Cela, Alberto Landi +1

We compute the K-theory of weighted blowups of smooth stacks satisfying the resolution property along smooth centers. As an application, we determine the K-theory of the stack of s…

math.AG2026

Factorizations of Moduli Morphisms and Universal Maps to Deligne-Mumford Stacks

Alberto Landi

Let $X$ be an algebraic stack admitting a moduli space $X_{mod}$ . We study the factorizations of the moduli space morphism $\mathcal{X}\rightarrow\math…

math.AG2025

The Integral Chow Rings of the Moduli Stacks of Hyperelliptic Prym Pairs III

Alessio Cela, Alberto Landi

This paper is the third and final part of a series devoted to the description of the integral Chow rings of the moduli stacks of hyperelliptic Prym pairs. For a fixed genus $g$ , th…

math.AG2025

The Integral Chow Rings of the Moduli Stacks of Hyperelliptic Prym Pairs II

Alessio Cela, Alberto Landi

This paper is the second in a series devoted to describing the integral Chow ring of the moduli stacks $R H_{g}$ of hyperelliptic Prym pairs. For fixed genus $g$ , the stack…

math.AG2025

Stacks, Monodromy and Symmetric Cubic Surfaces

Alberto Landi

We investigate monodromy groups arising in enumerative geometry, with a particular focus on how these groups are influenced by prescribed symmetries. To study these phenomena effec…

math.AG2025

The Integral Chow Rings of the Moduli Stacks of Hyperelliptic Prym Pairs I

Alessio Cela, Alberto Landi

This paper is the first in a series dedicated to computing the integral Chow rings of the moduli stacks of Prym pairs. In this work, we compute the Chow ring for Prym pairs arising…

math.AG2024

The Integral Chow Ring of the Stack of Pointed Hyperelliptic Curves

Alberto Landi

We study the integral Chow ring of the stack $H_{g, n}$ parametrizing $n$ -pointed smooth hyperelliptic curves of genus $g$ . We compute the integral Chow ring of $\mathcal{…

math.AG2023

The Picard Group of the Stack of Pointed Smooth Cyclic Covers of the Projective Line

Alberto Landi

We study the stack $H_{r, g, n}$ of $n$ -pointed smooth cyclic covers of degree $r$ between smooth curves of genus $g$ and the projective line. We give two presentations of…