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classification of $\lowercase{n}$-dimensional subvarieties of $g(1,2\lowercase{n})$ that can be projected to $g(1,\lowercase{n+1})$

Published online by Cambridge University Press:  23 September 2005

enrique arrondo ,
josé carlos sierra  and
luca ugaglia
enrique arrondo
Affiliation:
departamento de algebra, facultad de matemáticas, universidad complutense, 28040 madrid, spainenrique_arrondo@mat.ucm.es, josecarlos_sierra@mat.ucm.es
josé carlos sierra
Affiliation:
departamento de algebra, facultad de matemáticas, universidad complutense, 28040 madrid, spainenrique_arrondo@mat.ucm.es, josecarlos_sierra@mat.ucm.es
luca ugaglia
Affiliation:
dipartimento di matematica, università degli studi di milano, via saldini 50, 20133 milano, italyluca.ugaglia@unimi.it
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Abstract

a structure theorem is given for $n$-dimensional smooth subvarieties of the grassmannian $g(1,n)$, with $n\geq n+3$, that can be isomorphically projected to $g(1,n+1)$. a complete classification in the cases $n=2n+1$ and $n=2n$ follows, as a corollary.

Keywords

14n15
Type
papers
Information
Bulletin of the London Mathematical Society , Volume 37 , Issue 5 , October 2005 , pp. 673 - 682
Copyright
the london mathematical society 2005

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