Vector bundles on complex projective spaces and systems of partial differential equations. I Academic Article uri icon


  • This paper establishes and investigates a relationship between the space of solutions of a system of constant coefficient partial differential equations and the cohomology ( H 1 {H^1} in particular) of an associated vector bundle/reflexive sheaf on complex projective space. Using results of Grothendieck and Shatz on vector bundles over projective one-space, the case of partial differential equations in two variables is completely analyzed. The final section applies results about vector bundles on higher-dimensional projective spaces to the case of three or more variables.

published proceedings

  • Transactions of the American Mathematical Society

author list (cited authors)

  • Stiller, P. F.

citation count

  • 5

complete list of authors

  • Stiller, Peter F

publication date

  • January 1986