T. Guerreiro

activity

20222026

most citedExplicit Birational Geometry of Fano threefold complete intersections

1 citations · 1 across the 8 of their papers we have counts for

collaborators

8 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.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.

math.AG2023

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 $Γ$ be a smooth positive-dimensional complete intersection of $X$ , a hypersurface a…

math.AG2023

K-stability of Casagrande-Druel varieties

Ivan Cheltsov, Tiago Duarte Guerreiro, Kento Fujita +2

We introduce a new subclass of Fano varieties (Casagrande-Druel varieties), that are $n$ -dimensional varieties constructed from Fano double covers of dimension $n - 1$ . We conjecture…

math.AG2023★ 1 cited

Explicit Birational Geometry of Fano threefold complete intersections

Tiago Duarte Guerreiro

We complete the analysis on the birational rigidity of quasismooth Fano 3-fold deformation families appearing in the Graded Ring Database as a complete intersection. When such a de…

math.AG2022

Sarkisov links from toric weighted blowups of $P^{3}$ and $P^{4}$ at a point