2 citations · 3 across the 5 of their papers we have counts for
Showing math.AGShow all
3 papers · 1 filter
math.AG2005
Diophantine geometry and toric varieties
Patrice Philippon, Martin Sombra
We present some results on projective toric varieties which are relevant in Diophantine geometry. We interpret and study several invariants attached to these varieties in geometric…
math.AG2002★ 1 cited
The computational complexity of the Chow form
Gabriela Jeronimo, Teresa Krick, Juan Sabia +1
We present a bounded probability algorithm for the computation of the Chow forms of the equidimensional components of an algebraic variety. Its complexity is polynomial in the leng…
math.AG1999
Sharp estimates for the arithmetic Nullstellensatz
Teresa Krick, Luis Miguel Pardo, Martin Sombra
We present sharp estimates for the degree and the height of the polynomials in the Nullstellensatz over . The result improves previous work of Philippon, Berenstein-Yger and Kr…