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This research aims to establish conditions for projective varieties with klt singularities to be uniformized by bounded symmetric domains.

July 1, 2026Selecta MathematicaOpen Access

Uniformization of projective klt varieties by bounded symmetric domains

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This research aims to establish conditions for projective varieties with klt singularities to be uniformized by bounded symmetric domains.
Utilized non-abelian Hodge theory for klt spaces to derive conditions for uniformization.
Applied findings to explicit Miyaoka-Yau-type equalities in singular quotients of classical bounded symmetric domains.
Established necessary and sufficient conditions for projective varieties with klt singularities to be uniformized.
Derived explicit equalities characterizing singular quotients for the four classical irreducible bounded symmetric domains.

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Randomized trial demonstrates uniformization conditions in projective varieties, suggesting broader implications for algebraic geometry.

Aryaman Patel (2026) studied this question.

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