Philippe Bonnet

collaborators

6 papers

math.AG2007

On algebraic automorphisms and their rational invariants

Philippe Bonnet

Let X be an affine irreducible variety over an algebraically closed field k of characteristic zero. Given an automorphism F, we denote by k(X)^F its field of invariants, i.e. the s…

math.AG2006

Invariant hypersurfaces for derivations in positive characteristic

Philippe Bonnet

Let $A$ be an integral $k$ -algebra of finite type over an algebraically closed field $k$ of characteristic $p > 0$ . Given a collection $D$ of $k$ -derivations on $A$ , that we…

math.AG2006

Cohomology of regular differential forms for affine curves

Philippe Bonnet

Let $C$ be a complex affine reduced curve, and denote by $H^{1} (C)$ its first truncated cohomology group, i.e. the quotient of all regular differential 1-forms by exact 1-forms. Firs…

math.AG2006

Surjectivity of quotient maps for algebraic $(C, +)$ -actions and polynomial maps with contractible fibres

Philippe Bonnet

In this paper, we establish two results concerning algebraic $(C, +)$ -actions on $C^{n}$ . First let $ϕ$ be an algebraic $(C, +)$ -action on $C^{3}$ . By…

math.AG2006

Relative exactness modulo a polynomial map and algebraic $(C^{p}, +)$ -actions

Philippe Bonnet

Let $F = (f_{1}, ..., f_{q})$ be a polynomial dominating map from $C^{n}$ to $C^{q}$ . We study the quotient $T^{1} (F)$ of polynomial 1-forms that are exact along the fi…

math.AC2006

Families of k-derivations on k-algebras

Philippe Bonnet

Let $A$ be an integral $k$ -algebra of finite type over a field $k$ of characteristic zero. Let $F$ be a family of $k$ -derivations on $A$ and $M_{F}$ the $A$ -module sp…

On algebraic automorphisms and their rational invariants

Invariant hypersurfaces for derivations in positive characteristic

Cohomology of regular differential forms for affine curves

Surjectivity of quotient maps for algebraic (C,+)-actions and polynomial maps with contractible fibres

Relative exactness modulo a polynomial map and algebraic (Cp,+)-actions

Families of k-derivations on k-algebras

Surjectivity of quotient maps for algebraic $(C, +)$ -actions and polynomial maps with contractible fibres

Relative exactness modulo a polynomial map and algebraic $(C^{p}, +)$ -actions