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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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.