On singularities of third secant varieties of Veronese embeddings

Kangjin Han

doi:10.1016/j.laa.2018.01.013

On singularities of third secant varieties of Veronese embeddings

Kangjin Han

School of Undergraduate Studies

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

3 Scopus citations

Abstract

In this paper we study singularities of third secant varieties of Veronese embedding v_d(Pⁿ), which corresponds to the variety of symmetric tensors of border rank at most three in (Cⁿ⁺¹)^⊗d.

Original language	English
Pages (from-to)	391-406
Number of pages	16
Journal	Linear Algebra and Its Applications
Volume	544
DOIs	https://doi.org/10.1016/j.laa.2018.01.013
State	Published - 1 May 2018

Bibliographical note

Publisher Copyright:
© 2018 Elsevier Inc.

Keywords

Secant variety
Segre embedding
Singularity
Veronese embedding

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10.1016/j.laa.2018.01.013

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title = "On singularities of third secant varieties of Veronese embeddings",

abstract = "In this paper we study singularities of third secant varieties of Veronese embedding vd(Pn), which corresponds to the variety of symmetric tensors of border rank at most three in (Cn+1)⊗d.",

keywords = "Secant variety, Segre embedding, Singularity, Veronese embedding",

author = "Kangjin Han",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Inc.",

year = "2018",

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doi = "10.1016/j.laa.2018.01.013",

language = "English",

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AB - In this paper we study singularities of third secant varieties of Veronese embedding vd(Pn), which corresponds to the variety of symmetric tensors of border rank at most three in (Cn+1)⊗d.

KW - Secant variety

KW - Segre embedding

KW - Singularity

KW - Veronese embedding

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DO - 10.1016/j.laa.2018.01.013

M3 - Article

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SN - 0024-3795

VL - 544

SP - 391

EP - 406

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

On singularities of third secant varieties of Veronese embeddings

Abstract

Bibliographical note

Keywords

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