Complete collineations revisited

  title={Complete collineations revisited},
  author={Michael Thaddeus},
  journal={Mathematische Annalen},
  • M. Thaddeus
  • Published 27 August 1998
  • Mathematics
  • Mathematische Annalen
The space of complete collineations is a compactification of the space of matrices of fixed dimension and rank, whose boundary is a divisor with normal crossings. It was introduced in the 19th century and has been used to solve many enumerative problems. We show that this venerable space can be understood using the latest quotient constructions in algebraic geometry. Indeed, there is a detailed analogy between the complete collineations and the moduli space of stable pointed curves of genus… 

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