Geometriae Dedicata concentrates on geometry and its relationship to topology, group theory and the theory of dynamical systems. It aims to be a vehicle for excellent publications in geometry and related areas. The journal features special issues centered on specific topics of interest. Geometriae Dedicata was founded in 1972 on the initiative of Hans Freudenthal in Utrecht, the Netherlands, who viewed geometry as a method rather than as a field. The present Board of Editors tries to continue in this spirit. The steady growth of the journal since its foundation is witness to the validity of the founder's vision and to the success of the Editors' mission.
Geometriae Dedicata
Description
Identifiers
ISSN | 0046-5755 |
e-ISSN | 1572-9168 |
DOI | 10.1007/10711.1572-9168 |
Publisher
Springer Netherlands
Additional information
Data set: Springer
Articles
Geometriae Dedicata > 2019 > 203 > 1 > 111-133
Let C be an integral and projective curve; and let $$C'$$ C ′ be its canonical model. We study the relation between the gonality of C and the dimension of a rational normal scroll S where $$C'$$ C ′ can lie on. We are mainly interested in the case where C is singular, or even non-Gorenstein, in which case $$C'\not \cong C$$ C ′ ≇ C . We first analyze some properties...
Geometriae Dedicata > 2019 > 203 > 1 > 163-178
The paper is devoted to the study of geodesic orbit Riemannian spaces that could be characterize by the property that any geodesic is an orbit of a 1-parameter group of isometries. The main result is the classification of compact simply connected geodesic orbit Riemannian spaces (G / H, g) with two irreducible submodules in the isotropy representation.
Geometriae Dedicata > 2019 > 203 > 1 > 1-23
We study the group of type-preserving automorphisms of a right-angled building, in particular when the building is locally finite. Our aim is to characterize the proper open subgroups as the finite index closed subgroups of the stabilizers of proper residues. One of the main tools is the new notion of firm elements in a right-angled Coxeter group, which are those elements for which the final letter...