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math.AG2024
An example of homogeneous cones whose basic relative invariant has maximal degree
Hideto Nakashima
It is known that degrees of basic relative invariants of homogeneous open convex cones of rank are less than or equal to . In this article, we show that there exists a…
math.AG2020
Algebraic proof of explicit formulas of basic relative invariants of homogeneous cones
Hideto Nakashima
The aim of this paper is to give another proof to a result on the image of a homogeneous quadratic map which is positive with respect to a homogeneous cone, given by Graczyk and Is…