Danilo Santiago

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math.AG2023

On rank 3 instanton bundles on $P^{3}$

Aline V. Andrade, Danilo R. Santiago, Danilo D. Silva +1

We investigate rank $3$ instanton vector bundles on $P^{3}$ of charge $n$ and its correspondence with rational curves of degree $n + 3$ . For $n = 2$ we present a correspondence…

math.AG2021

Foliations by curves on threefolds

Alana Cavalcante, Marcos Jardim, Danilo Santiago

We study the conormal sheaves and singular schemes of 1-dimensional foliations on smooth projective varieties $X$ of dimension 3 and Picard rank 1. We prove that if the singular sc…

On rank 3 instanton bundles on P3

Foliations by curves on threefolds

On rank 3 instanton bundles on $P^{3}$