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A note on the Frobenius morphism on toric varieties
note Frobenius morphism toric varieties
2011/1/20
We give a new, shorter computation of Frobenius push-forwards of line bundles on toric varieties.
Heuristic formula for logarithm of the Frobenius morphism
Heuristic formula logarithm the Frobenius morphism
2010/11/15
We show that the logarithm $\log_q$ of the Frobenius morphism $x\to x^q$ is given by the formula $x\to x\log x$ (the natural logarithm). In particular, it does not depend on $q$. This is the explicit ...
For a smooth projective variety P, we construct a Cartier divisor supported on the incidence locus in Ca(P) × Cdim(P)−a−1(P). There is a natural definition of the corresponding line bundle...