Flatness conjecture for the naive symplectic local model

From papers

Let MGSp2gnaive\mathbf M^{\mathrm{naive}}_{GSp_{2g}} denote the naive local model for the symplectic similitude group GSp2gGSp_{2g} in the ramified setting considered in the paper. Flatness conjecture for the naive symplectic local model. The naive local model

MGSp2gnaive\mathbf M^{\mathrm{naive}}_{GSp_{2g}}

is flat. The paper proves only that the corresponding symplectic local model is topologically flat and explicitly states that it cannot prove flatness for the relevant symplectic models, so this conjecture remains open in the supplied source.

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Sources & referencesView supporting material

Primary source

Ulrich Goertz, “Topological flatness of local models in the ramified case”, arXiv:math/0205050 (2003).

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