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math.DG2025
A Hilbert--Mumford criterion for nilsolitons
Yoshinori Hashimoto
We give an algebraic criterion for a nilpotent real Lie algebra and prove that it provides a necessary and sufficient condition for the associated nilpotent Lie group to admit left…
math.DG2025
Mapping properties of the Hilbert and Fubini--Study maps in Kähler geometry
Yoshinori Hashimoto
Suppose that we have a compact Kähler manifold with a very ample line bundle . We prove that any positive definite hermitian form on the space $H^0 (X,\mathcal{L}…