Fubini-Griffiths-Harris rigidity of homogeneous varieties
J. M. Landsberg, C. Robles
TL;DR
This paper establishes upper bounds on the projective rigidity of homogeneous varieties and introduces a new invariant-based characterization of Fubini forms, advancing understanding of their geometric properties.
Contribution
It provides the first explicit upper bounds on projective rigidity for homogeneous varieties and offers a novel invariant characterization of Fubini forms.
Findings
Upper bounds on projective rigidity are determined.
A new invariant characterization of Fubini forms is introduced.
The results enhance understanding of the geometric rigidity of homogeneous varieties.
Abstract
Upper bounds on projective rigidity of each homogeneously embedded homogeneous variety are determined; and a new, invariant characterization of the Fubini forms is given.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic Geometry and Number Theory · Meromorphic and Entire Functions