T. Guerreiro

activity

20242026

collaborators

5 papers

math.AG2026

K-stability of complete intersections

Livia Campo, Kristin DeVleming, Tiago Duarte Guerreiro

We prove the K-polystability of the general Fano complete intersection of arbitrary multidegree and dimension, and the K-stability of the general Fano complete intersection that is…

math.AG2026

Blowups of smooth hypersurfaces, their birational geometry and divisorial stability

Livia Campo, Tiago Duarte Guerreiro, Erik Paemurru

Let $X$ be a smooth $n$ -dimensional Fano hypersurface in $P^{n + 1}$ where $n \geq 3$ . Let $I^$ be a smooth positive-dimensional complete intersection of $X$ , a hypersurface…

math.AG2025

On Mori dreamness of blowups along space curves

Tiago Duarte Guerreiro, Sokratis Zikas

We study the problem of determining when the blowup $X \to P^{3}$ along a smooth space curve $C$ is a Mori Dream Space. We obtain sufficient conditions, as well obstructions…

math.AG2025

A survey on birational Rigidity of threefold Weighted Complete Intersections

Tiago Duarte Guerreiro, Takuzo Okada

We survey what is known about Fano threefold weighted complete intersections from the point of view of birational rigidity.

math.AG2024

On K-stability of $P^{3}$ blown up along a smooth genus $2$ curve of degree $5$

Tiago Duarte Guerreiro, Luca Giovenzana, Nivedita Viswanathan

We prove K-stability for infinitely many smooth members of the family 2.19 of the Mukai-Mori classification.

K-stability of complete intersections

Blowups of smooth hypersurfaces, their birational geometry and divisorial stability

On Mori dreamness of blowups along space curves

A survey on birational Rigidity of threefold Weighted Complete Intersections

On K-stability of P3 blown up along a smooth genus 2 curve of degree 5

On K-stability of $P^{3}$ blown up along a smooth genus $2$ curve of degree $5$