On varieties of almost minimal degree III: Tangent spaces and embedding scrolls

M. Brodmann; E. Park

doi:10.1016/j.jpaa.2011.04.006

On varieties of almost minimal degree III: Tangent spaces and embedding scrolls

M. Brodmann, E. Park

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	2859-2872
Number of pages	14
Journal	Journal of Pure and Applied Algebra
Volume	215
Issue number	12
DOIs	https://doi.org/10.1016/j.jpaa.2011.04.006
Publication status	Published - 2011 Dec

Bibliographical note

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.

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jpaa.2011.04.006

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title = "On varieties of almost minimal degree III: Tangent spaces and embedding scrolls",

abstract = "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.",

author = "M. Brodmann and E. Park",

note = "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.",

year = "2011",

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doi = "10.1016/j.jpaa.2011.04.006",

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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

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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.

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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 -

On varieties of almost minimal degree III: Tangent spaces and embedding scrolls

Abstract

Bibliographical note

ASJC Scopus subject areas

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