Carlos Abad

collaborators

2 papers

math.AC2018

$p$ -bases and differential operators on varieties defined over a non-perfect field

Carlos Abad

Let $k$ be a possibly non-perfect field of characteristic $p > 0$ . In this work we prove the local existence of absolute $p$ -bases for regular algebras of finite type over $k$ . Nam…

math.AG2017

Finite morphisms and simultaneous reduction of the multiplicity

Carlos Abad, Ana Bravo, Orlando E. Villamayor

Let $X$ be a singular algebraic variety defined over a field $k$ , with quotient field $K (X)$ . Let $s \geq 2$ be the highest multiplicity of $X$ and $F_{s} (X)$ the set of points of mu…

p-bases and differential operators on varieties defined over a non-perfect field

Finite morphisms and simultaneous reduction of the multiplicity

$p$ -bases and differential operators on varieties defined over a non-perfect field