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math.DG2026
Canonical metric on a mildly singular Kähler varieties with an intermediate log Kodaira dimension
Hassan Jolany
Existence of canonical metric on a canonical model of projective singular variety was a long standing conjecture and the major part of this conjecture is about varieties which do n…
math.DG2026
Generalized Hitchin-Kobayashi correspondence and Weil-Petersson current
Hassan Jolany
In this paper we extend Hitchin-Kobayashi correspondence along holomorphic fibre space and we show that there exists a generalized Hermitian-Einstein metric which is twisted with W…
math.DG2026
Generalized Sasaki-Einstein metric twisted with Weil-Petersson metric
Hassan Jolany
Existence of canonical metric on a Sasakian variety was a long standing conjecture and the major part of this conjecture is about varieties which do not have definite basic first C…