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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.
Cox rings of rational complexity one T-varieties
Cox ring branched coverings torus actions
2010/11/29
Let X be a Mori dream space together with an effective torus action of complexity one. In this note, we construct a polyhedral divisor DCox on a suitable finite covering of P1 which corresponds to the...
Nontrivial algebraic cycles in the Jacobian varieties of some quotients of Fermat curves
Nontrivial algebraic cycles Jacobian varieties of some quotients of Fermat curves
2010/11/26
We obtain the trace map images of the values of certain harmonic vol-umes for some quotients of Fermat curves. These provide the algorithm showing that the algebraic cycles called by k-th Ceresa cycle...
Extensions of Toric Varieties
toric variety Hilbert function of a local ring tangent cone syzygy
2010/11/29
In this paper, we introduce the notion of “extension” of a toric variety and study its fundamental properties. This gives rise to infinitely many toric varieties with a special property, such as being...