Five Lectures on Projective Invariants

2013/05/13 by Giorgio Ottaviani, Ottaviani, Giorgio · 2 citations
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1305.2749

Abstract

We introduce invariant rings for forms (homogeneous polynomials) and for d points on the projective space, from the point of view of representation theory. We discuss several examples, addressing some computational issues. We introduce the graphical algebra for the invariants of d points on the line. This is an expanded version of the notes for the School on Invariant Theory and Projective Geometry, Trento, September 17-22, 2012.

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Related

• The relations among invariants of points on the projective line
• Representation theory and projective geometry
• The projective invariants of ordered points on the line
• The ideal of relations for the ring of invariants of n points on the line
• First order joint differential projective invariants