Search for dissertations about: "Alessandro Oneto"

Found 2 swedish dissertations containing the words Alessandro Oneto.

  1. 1. Power ideals, Fröberg conjecture and Waring problems

    Author : Alessandro Oneto; Boris Shapiro; Ralf Fröberg; Kristian Ranestad; Stockholms universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; power ideals; Hilbert function; fat points; Waring problem; matematik; Mathematics;

    Abstract : This thesis is divided into two chapters. First, we want to study particularclasses of power ideals, with particular attention to their relation with the Fröberg conjecture on the Hilbert series of generic ideals. READ MORE

  2. 2. Waring-type problems for polynomials : Algebra meets Geometry

    Author : Alessandro Oneto; Boris Shapiro; Brian Harbourne; Stockholms universitet; []
    Keywords : NATURAL SCIENCES; NATURVETENSKAP; NATURVETENSKAP; NATURAL SCIENCES; polynomials; Waring problems; Hilbert series; fat points; power ideals; secant varieties; matematik; Mathematics;

    Abstract : In the present thesis we analyze different types of additive decompositions of homogeneous polynomials. These problems are usually called Waring-type problems and their story go back to the mid-19th century and, recently, they received the attention of a large community of mathematicians and engineers due to several applications. READ MORE