Advertisement

Curves in Projective Spaces

  • Maxim E. Kazaryan
  • Sergei K. Lando
  • Victor V. Prasolov
Chapter
Part of the Moscow Lectures book series (ML, volume 2)

Abstract

As we will see below, the projective plane (like any other two-dimensional surface) is too narrow to accommodate every smooth curve. In the three-dimensional space there is much more freedom. However, to define curves in \({\mathbb {C}\mathbb {P}}^3\) and higher dimensional projective spaces is more difficult than in the plane. In this chapter, we discuss methods of defining such curves.

Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Maxim E. Kazaryan
    • 1
  • Sergei K. Lando
    • 2
  • Victor V. Prasolov
    • 3
  1. 1.Steklov Mathematical Institute of RASNational Research University Higher School of Economics, Skolkovo Institute of Science and TechnologyMoscowRussia
  2. 2.National Research University Higher School of Economics, Skolkovo Institute of Science and TechnologyMoscowRussia
  3. 3.Independent University of MoscowMoscowRussia

Personalised recommendations