TY - JOUR
T1 - On varieties of almost minimal degree III
T2 - Tangent spaces and embedding scrolls
AU - Brodmann, M.
AU - Park, E.
N1 - Funding Information:
The second named author was supported by Mid-career Researcher Program through NRF grant funded by the MEST (No. R01-2008-0061792). The authors also thank the referee for his/her careful study of the manuscript and the improvements he/she suggested.
PY - 2011/12
Y1 - 2011/12
N2 - Let X⊂Pr be a variety of almost minimal degree which is the projected image of a rational normal scroll X~⊂Pr+1 from a point p outside of X⊂. In this paper we study the tangent spaces at singular points of X and the geometry of the embedding scrolls of X, i.e. the rational normal scrolls Y⊂Pr which contain X as a codimension one subvariety.
AB - Let X⊂Pr be a variety of almost minimal degree which is the projected image of a rational normal scroll X~⊂Pr+1 from a point p outside of X⊂. In this paper we study the tangent spaces at singular points of X and the geometry of the embedding scrolls of X, i.e. the rational normal scrolls Y⊂Pr which contain X as a codimension one subvariety.
UR - http://www.scopus.com/inward/record.url?scp=79959373799&partnerID=8YFLogxK
U2 - 10.1016/j.jpaa.2011.04.006
DO - 10.1016/j.jpaa.2011.04.006
M3 - Article
AN - SCOPUS:79959373799
SN - 0022-4049
VL - 215
SP - 2859
EP - 2872
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
IS - 12
ER -