CURVES IN GRASSMANNIANS

Authors
PERKINSON D
Citation
D. Perkinson, CURVES IN GRASSMANNIANS, Transactions of the American Mathematical Society, 347(9), 1995, pp. 3179-3246
Citations number
26
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
347
Issue
9
Year of publication
1995
Pages
3179 - 3246
Database
ISI
SICI code
0002-9947(1995)347:9<3179:CIG>2.0.ZU;2-7
Abstract
Curves in Grassmannians are analyzed using the special structure of th e tangent bundle of a Grassmannian, resulting in a theory of inflectio ns or Weierstrass behavior. A duality theorem is established, generali zing the classical duality theorem for projective plane curves. The ap pendices summarize basic information about principal parts bundles and their application to studying the inflections of curves in projective space.