Enumerative Real Algebraic Geometry Institutional Repository Document uri icon

abstract

  • Enumerative Geometry is concerned with the number of solutions to a structured system of polynomial equations, when the structure comes from geometry. Enumerative real algebraic geometry studies real solutions to such systems, particularly a priori information on their number. Recent results in this area have, often as not, uncovered new and unexpected phenomena, and it is far from clear what to expect in general. Nevertheless, some themes are emerging. This comprehensive article describe the current state of knowledge, indicating these themes, and suggests lines of future research. In particular, it compares the state of knowledge in Enumerative Real Algebraic Geometry with what is known about real solutions to systems of sparse polynomials.

author list (cited authors)

  • Sottile, F.

citation count

  • 0

complete list of authors

  • Sottile, Frank

Book Title

  • arXiv

publication date

  • July 2001