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Classification of n ‐Dimensional Subvarieties of G (1, 2 n ) that can be Projected to G (1, n + 1)
Author(s) -
Arrondo Enrique,
Sierra José Carlos,
Ugaglia Luca
Publication year - 2005
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s002460930500473x
Subject(s) - mathematics , grassmannian , corollary , mathematics subject classification , pure mathematics , combinatorics
A structure theorem is given for n ‐dimensional smooth subvarieties of the Grassmannian G (1, N ), with N ⩾ n + 3, that can be isomorphically projected to G (1, n + 1). A complete classification in the cases N = 2 n + 1 and N = 2 n follows, as a corollary. 2000 Mathematics Subject Classification 14N15.