| /- | |
| Copyright (c) 2026 OpenAI. All rights reserved. | |
| Released under Apache 2.0 license. | |
| Authors: OpenAI | |
| -/ | |
| import OAI.AlgebraicGeometry.CartierSections.ChartCompactness | |
| import OAI.AlgebraicGeometry.CartierSections.RetractionBounds | |
| import OAI.AlgebraicGeometry.CartierSections.LocalMultiplier | |
| /-! | |
| # Local algebra of monomial retractions | |
| Local results for *Uniform Cartier sections for Fano-type contractions*, Section E: | |
| algebraic-series degree bounds and isolated jets, formal coordinates in closed étale | |
| charts, monomial valuations and their extensions to fraction fields, and compactness | |
| of normalized cones in the topology of pointwise evaluation. The local multiplier | |
| algebra describes principal ideal sums and the convex regions defined by rounded | |
| divisor coefficients. | |
| -/ | |