Characterizing the homogeneous variety F_4(4)
Gianluca Occhetta, Luis E. Sol\'a Conde, Kiwamu Watanabe
TL;DR
This paper characterizes the 15-dimensional homogeneous variety F_4(4) using its varieties of minimal rational tangents, providing a geometric understanding of its structure.
Contribution
It offers a new characterization of F_4(4) based on minimal rational tangents, advancing the geometric classification of homogeneous varieties.
Findings
Provides a characterization of F_4(4) via minimal rational tangents
Enhances understanding of the structure of F_4(4)
Contributes to the classification theory of homogeneous varieties
Abstract
In this paper we consider the -dimensional homogeneous variety of Picard number one , and provide a characterization of it in terms of its varieties of minimal rational tangents.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Meromorphic and Entire Functions · Polynomial and algebraic computation