Invariant and geometric aspects of algebraic complexity theory I

  • Authors:
  • Jacques Morgensern

  • Affiliations:
  • University of Nice & I.N.R.I.A., Pare Valrose, F-06034-Nice, France

  • Venue:
  • Journal of Symbolic Computation
  • Year:
  • 1991

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Abstract

We expound new approaches to the analysis of algebraic complexity based on synthetic and algebraic geometry. The search for interesting lower bounds is a good reason to study the complexity of computation of linear forms. The analysis of linear algorithms leads naturally to questions about computational networks with their combinatorial aspects and about special configurations of sets of points in projective spaces which classical invariant theory might help to answer.