Access

You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:

login

Log in to your personal account or through your institution.

If You Use a Screen Reader

This content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.

ON THE CHARACTERIZATION OF ALGEBRAICALLY INTEGRABLE PLANE FOLIATIONS

C. GALINDO and F. MONSERRAT
Transactions of the American Mathematical Society
Vol. 362, No. 9 (SEPTEMBER 2010), pp. 4557-4568
Stable URL: http://www.jstor.org/stable/25733382
Page Count: 12
  • Read Online (Free)
  • Download ($30.00)
  • Subscribe ($19.50)
  • Cite this Item
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
ON THE CHARACTERIZATION OF ALGEBRAICALLY INTEGRABLE PLANE FOLIATIONS
Preview not available

Abstract

We give a characterization theorem for non-degenerate plane foliations of degree different from 1 having a rational first integral. Moreover, we prove that the degree r of a non-degenerate foliation as above provides the minimum number, r + 1, of points in the projective plane through which pass infinitely many algebraic leaves of the foliation.

Page Thumbnails

  • Thumbnail: Page 
4557
    4557
  • Thumbnail: Page 
4558
    4558
  • Thumbnail: Page 
4559
    4559
  • Thumbnail: Page 
4560
    4560
  • Thumbnail: Page 
4561
    4561
  • Thumbnail: Page 
4562
    4562
  • Thumbnail: Page 
4563
    4563
  • Thumbnail: Page 
4564
    4564
  • Thumbnail: Page 
4565
    4565
  • Thumbnail: Page 
4566
    4566
  • Thumbnail: Page 
4567
    4567
  • Thumbnail: Page 
4568
    4568