Add to ORKGWe study pairs of non-constant maps between two integral schemes of finite type over two (possibly different) fields of positive characteristic. When the target is quasi-affine, Tamagawa showed that the two maps are equal up to a power of Frobenius if and only if they induce the same homomorphism on their \'etale fundamental groups. We extend Tamagawa's result by adding a purely topological criterion for maps to agree up to a power of Frobenius.Comment: 14 pages, comments welcome
This thesis includes two parts. In the first part, we show a purity theorem for stratifications by N...
We establish an equivalence of categories between a category of gauges and Moonens and Wedhorns cate...
We establish an equivalence of categories between a category of gauges and Moonens and Wedhorns cate...
For a quasi-projective scheme $X$ admitting a smooth compactification over a local field of residue ...
In this thesis I study various incarnations of rational homotopy theory in the world of arithmetic g...
Kobayashi-Ochiai proved that the set of dominant maps from a fixed variety to a fixed variety of gen...
I show that one can explicitly construct topologically/geometrically distinguishable data which prov...
We prove that two natural isomorphisms between the first mod m Suslin homology and the mod m abelian...
We give a new proof, along with some generalizations, of a folklore theorem (attributed to Laurent L...
We provide a characterization of finite \'etale morphisms in tensor triangular geometry. They are pr...
We show Poincar\'e Duality for $\mathbf{F}_p$-\'etale cohomology of a smooth proper rigid space over...
The celebrated proof of the Hartshorne conjecture by Shigefumi Mori allowed for the study of the geo...
The celebrated proof of the Hartshorne conjecture by Shigefumi Mori allowed for the study of the geo...
This dissertation explores the interplay between the Frobenius morphism and the geometry of algebrai...
This thesis includes two parts. In the first part, we show a purity theorem for stratifications by N...
This thesis includes two parts. In the first part, we show a purity theorem for stratifications by N...
We establish an equivalence of categories between a category of gauges and Moonens and Wedhorns cate...
We establish an equivalence of categories between a category of gauges and Moonens and Wedhorns cate...
For a quasi-projective scheme $X$ admitting a smooth compactification over a local field of residue ...
In this thesis I study various incarnations of rational homotopy theory in the world of arithmetic g...
Kobayashi-Ochiai proved that the set of dominant maps from a fixed variety to a fixed variety of gen...
I show that one can explicitly construct topologically/geometrically distinguishable data which prov...
We prove that two natural isomorphisms between the first mod m Suslin homology and the mod m abelian...
We give a new proof, along with some generalizations, of a folklore theorem (attributed to Laurent L...
We provide a characterization of finite \'etale morphisms in tensor triangular geometry. They are pr...
We show Poincar\'e Duality for $\mathbf{F}_p$-\'etale cohomology of a smooth proper rigid space over...
The celebrated proof of the Hartshorne conjecture by Shigefumi Mori allowed for the study of the geo...
The celebrated proof of the Hartshorne conjecture by Shigefumi Mori allowed for the study of the geo...
This dissertation explores the interplay between the Frobenius morphism and the geometry of algebrai...
This thesis includes two parts. In the first part, we show a purity theorem for stratifications by N...
This thesis includes two parts. In the first part, we show a purity theorem for stratifications by N...
We establish an equivalence of categories between a category of gauges and Moonens and Wedhorns cate...
We establish an equivalence of categories between a category of gauges and Moonens and Wedhorns cate...