Quasi-translations and singular Hessians

Syntax-Directed Translations and Quasi-alphabetic Tree Bimorphisms - Revisited

Quasi-alphabetic tree bimorphisms [Steinby and Tîrn uc : Syntax-Directed Translations and Quasi-Alphabetic Tree Bimorphisms. Proc. CIAA, LNCS 4783:265 276, 2007] are reconsidered. It is known that the class of (string) translations de ned by such bimorphisms coincides with the class of syntax-directed translations. This result is extended to a smaller class of tree bimorphisms namely (linear an...

Syntax-Directed Translations and Quasi-alphabetic Tree Bimorphisms

Determinant of Complexes and Higher Hessians

Abstract. Let X ⊂ Pr be a smooth algebraic curve in projective space, over an algebraically closed field of characteristic zero. For each m ∈ N, the m-flexes of X are defined as the points where the osculating hypersurface of degree m has higher contact than expected, and a hypersurface H ⊂ Pr is called a m-Hessian if it cuts X along its m-flexes. When X is a complete intersection, we give an e...

Gradients and Hessians in Hilbert spaces

Complexity of Gradients, Jacobians, and Hessians