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Results tagged with frobenius-splitting
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user 470753
1
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Is the Cox ring of a Mori dream space $ Z $ which is of globally $ F $-regular type Cohen Ma...
A variety $ X $ over a field of characteristic zero is of globally $ F $-regular type if there is a ring $ A $ which is a finitely generated $ \mathbb{Z} $-algebra, a flat family
$ \mathcal{X} $ over …
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1
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68
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Does there exist a point $ x $ of an affine toric variety $ U_{\sigma} $ such that $ x $ is ...
A variety $ X $ is $ F $-split if there exists an $ \mathcal{O}_{X} $-linear map $ \phi: F_{\ast}(\mathcal{O}_{X}) \to \mathcal{O}_{X} $ such that $ \phi \circ F^{\sharp} = \operatorname{id}_{\mathcal …
- 912
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Example of projective, $ F $-regular variety $ X $ and smooth sub-variety $ Y $ such that $ ...
A variety $ X $ is $ F $-split if there exists an $ \mathcal{O}_{X} $-linear map $ \phi: F_{\ast}(\mathcal{O}_{X}) \to \mathcal{O}_{X} $ such that $ \phi \circ F^{\sharp} = \operatorname{id}_{\mathcal …
- 912
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68
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Is the Cox ring of a $ \mathbb{Q} $-factorial, $ F $-regular, Mori dream space $ F $-regular?
A variety $ X $ is $ F $-split if there exists an $ \mathcal{O}_{X} $-linear map $ \phi: F_{\ast}(\mathcal{O}_{X}) \to \mathcal{O}_{X} $ such that $ \phi \circ F^{\sharp} = \operatorname{id}_{\mathcal …
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2
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0
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158
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Does anyone know an example of a non-singular, globally $ F $-regular variety $ X $ for whic...
Let us denote the Frobenius endomorphism of a variety $ X $ by $ F $. A variety $ X $ over a field $ k $ of positive characteristic is globally $ F $-regular if for every effective Weil divisor $ D $ …
- 912
1
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0
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Blow-ups of $ F $-regular varieties at points in general position and finite generation of t...
A variety $ X $ is $ F $-split if there exists an $ \mathcal{O}_{X} $-linear map $ \phi: F_{\ast}(\mathcal{O}_{X}) \to \mathcal{O}_{X} $ such that $ \phi \circ F^{\sharp} = \operatorname{id}_{\mathcal …
- 912
2
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0
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When is a smooth point of a projective, simplicial, toric variety $ X_{\Sigma} $ compatibly ...
A variety $ X $ is $ F $-split if there exists an $ \mathcal{O}_{X} $-linear map $ \phi: F_{\ast}(\mathcal{O}_{X}) \to \mathcal{O}_{X} $ such that $ \phi \circ F^{\sharp} = \operatorname{id}_{\mathcal …
- 912