activity
20202026
most citedSarkisov links for index 1 Fano 3-folds in codimension 4

1 citations · 1 across the 6 of their papers we have counts for

collaborators

6 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.AG2023

Blowups of smooth hypersurfaces, their birational geometry and divisorial stability

Livia Campo, Tiago Duarte Guerreiro, Erik Paemurru

Let be a smooth -dimensional Fano hypersurface in where . Let be a smooth positive-dimensional complete intersection of , a hypersurface a…

math.AG2023

High-pliability Fano hypersurfaces

Livia Campo

We show that five of Reid's Fano 3-fold hyperurfaces containing at least one compound Du Val singularity of type have pliability at least two. The two elements of the pliabi…

math.AG2021

Non-solidity of uniruled varieties

Livia Campo, Tiago Duarte Guerreiro

We give conditions for a uniruled variety of dimension at least 2 to be non-solid. This study provides further evidence to a conjecture by Abban and Okada on the solidity of Fano 3…

math.AG2021

Fano 3-folds and double covers by half elephants

Livia Campo

We construct a deformation family for each of the 34 Hilbert series of index 2 Fano 3-folds. In 18 cases we construct two different families, distinguished by the topology of their…

math.AG2020★ 1 cited

Sarkisov links for index 1 Fano 3-folds in codimension 4

Livia Campo

We classify Sarkisov links from index 1 Fano 3-folds anticanonically embedded in codimension 4 that start from so-called Type I Tom centres. We apply this to compute the Picard ran…