A. Tolcachier

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20192024

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math.DG2024

Six-dimensional complex solvmanifolds with non-invariant trivializing sections of their canonical bundle

Alejandro Tolcachier

It is known that there exist complex solvmanifolds $(Γ\ G, J)$ whose canonical bundle is trivialized by a holomorphic section which is not invariant under the action of $G$ …

math.DG2022

$G_{2}$ -structures on flat solvmanifolds

Alejandro Tolcachier

In this article we study the relation between flat solvmanifolds and $G_{2}$ -geometry. First, we give a classification of 7-dimensional flat splittable solvmanifolds using the classi…

math.DG2019

Holonomy groups of compact flat solvmanifolds

Alejandro Tolcachier

This article is concerned with the study of the holonomy group of flat solvmanifolds. It is known that the holonomy group of a flat solvmanifold is abelian; we give an elementary p…

Six-dimensional complex solvmanifolds with non-invariant trivializing sections of their canonical bundle

G2​-structures on flat solvmanifolds

Holonomy groups of compact flat solvmanifolds

$G_{2}$ -structures on flat solvmanifolds