EMIS/ELibM Electronic Journals

Outdated Archival Version

These pages are not updated anymore. They reflect the state of 2 Oct 2005. For the current production of this journal, please refer to http://www.tandfonline.com/loi/uexm20.

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1. Background

The conjectures of Shapiro and Shapiro tie together recent work in real enumerative geometry and a variant of the pole placement problem asking for real feedback laws. Its history is similarly connected. The first substantial evidence for it was found while investigating the pole placement problem numerically [RS].
  1. Real enumerative geometry.
  2. Linear systems.
  3. Pole placement problem.
  4. History of the conjectures.
2. Complete intersections: hypersurface Schubert condition.
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