26 citations · 26 across the 6 of their papers we have counts for
9 papers
The derived category of a generalized complex torus
Patrick Antweiler, Vicente Cortés, Julian Holstein +2
For any translation invariant generalized complex structure J on a torus we construct the derived category D(J) generalizing the derived category of coherent sheaves on a complex t…
Deformations of generalized complex structures on -flat transitive Courant algebroids
Vicente Cortés, Paula Naomi Pilatus
We extend Gualtieri's deformation theorem for generalized complex structures on exact Courant algebroids to the more general class of -flat transitive Courant algebroi…
Deformation theory of complex structures via Hamilton-Nash-Moser theory
Vicente Cortés, Paula Naomi Pilatus
We revisit the classical proof by Kuranishi on the existence of a locally complete family of complex deformations on a compact complex manifold using Hamilton's Nash-Moser implicit…
Components of generalised complex structures on transitive Courant algebroids
Vicente Cortés, Liana David
Generalised almost complex structures on transitive Courant algebroids are studied in terms of their components with respect to a splitting $E\cong TM \oplus T^*M…
Intrinsic characterization of projective special complex manifolds
Vicente Cortés, Kazuyuki Hasegawa
We define the notion of an -bundle of projective special complex base type and construct a conical special complex manifold from it. Consequently the base space of such an $S^…
Affine hypersurfaces and superintegrable systems
Vicente Cortés, Andreas Vollmer
It was recently shown that under mild assumptions second-order conformally superintegrable systems can be encoded in a -tensor, called structure tensor. For abundant systems…
Quaternionic Kähler manifolds fibered by solvsolitons
Vicente Cortés, Alejandro Gil-García, Markus Röser
This paper is concerned with the geometry of principal orbits in quaternionic Kähler manifolds of cohomogeneity one. We focus on the complete cohomogeneity one examples obtaine…
Darboux theorem for generalized complex structures on transitive Courant algebroids
Vicente Cortés, Liana David
Under natural assumptions we find local normal forms for generalized complex structures on transitive Courant algebroids, which extend Gualtieri's Darboux theorem for generalized c…
Half-flat Structures and Special Holonomy
Vicente Cortés, Thomas Leistner, Lars Schäfer +1
It was proven by Hitchin that any solution of his evolution equations for a half-flat SU(3)-structure on a compact six-manifold M defines an extension of M to a seven-manifold with…