Introduces geodesic metric d1 on saturated filtrations of local domains, identifies toric monomial case with L1_loc subspaces via Newton-Okounkov bodies, and establishes lattice structure plus semi-continuity of log canonical threshold.
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2 Pith papers cite this work. Polarity classification is still indexing.
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2024 2verdicts
UNVERDICTED 2representative citing papers
Algebraic obstructions control approximate WZW solutions on polarized families; a generalized equation using Harder-Narasimhan filtrations always has approximate solutions, and an asymptotic converse to the Andreotti-Grauert theorem is proved.
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On the geometry of spaces of filtrations on local rings
Introduces geodesic metric d1 on saturated filtrations of local domains, identifies toric monomial case with L1_loc subspaces via Newton-Okounkov bodies, and establishes lattice structure plus semi-continuity of log canonical threshold.
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About Wess-Zumino-Witten equation and Harder-Narasimhan potentials
Algebraic obstructions control approximate WZW solutions on polarized families; a generalized equation using Harder-Narasimhan filtrations always has approximate solutions, and an asymptotic converse to the Andreotti-Grauert theorem is proved.