Non-embeddable real algebraic hypersurfaces

Xiaojun Huang; Dmitri Zaitsev

doi:10.1007/s00209-013-1153-x

Non-embeddable real algebraic hypersurfaces

Xiaojun Huang, Dmitri Zaitsev

School of Arts and Sciences, Mathematics

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

5 Scopus citations

Abstract

We study various classes of real hypersurfaces that are not embeddable into more special hypersurfaces in higher dimension, such as spheres, real algebraic compact strongly pseudoconvex hypersurfaces or compact pseudoconvex hypersurfaces of finite type. We conclude by stating some open problems.

Original language	English (US)
Pages (from-to)	657-671
Number of pages	15
Journal	Mathematische Zeitschrift
Volume	275
Issue number	3-4
DOIs	https://doi.org/10.1007/s00209-013-1153-x
State	Published - Dec 2013

All Science Journal Classification (ASJC) codes

Mathematics(all)

Access to Document

10.1007/s00209-013-1153-x

Cite this

@article{a9beeba5ac72406baf30ad7f522b0d43,

title = "Non-embeddable real algebraic hypersurfaces",

abstract = "We study various classes of real hypersurfaces that are not embeddable into more special hypersurfaces in higher dimension, such as spheres, real algebraic compact strongly pseudoconvex hypersurfaces or compact pseudoconvex hypersurfaces of finite type. We conclude by stating some open problems.",

author = "Xiaojun Huang and Dmitri Zaitsev",

year = "2013",

month = dec,

doi = "10.1007/s00209-013-1153-x",

language = "English (US)",

volume = "275",

pages = "657--671",

journal = "Mathematische Zeitschrift",

issn = "0025-5874",

publisher = "Springer New York",

number = "3-4",

}

TY - JOUR

T1 - Non-embeddable real algebraic hypersurfaces

AU - Huang, Xiaojun

AU - Zaitsev, Dmitri

PY - 2013/12

Y1 - 2013/12

N2 - We study various classes of real hypersurfaces that are not embeddable into more special hypersurfaces in higher dimension, such as spheres, real algebraic compact strongly pseudoconvex hypersurfaces or compact pseudoconvex hypersurfaces of finite type. We conclude by stating some open problems.

AB - We study various classes of real hypersurfaces that are not embeddable into more special hypersurfaces in higher dimension, such as spheres, real algebraic compact strongly pseudoconvex hypersurfaces or compact pseudoconvex hypersurfaces of finite type. We conclude by stating some open problems.

UR - http://www.scopus.com/inward/record.url?scp=84888134342&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84888134342&partnerID=8YFLogxK

U2 - 10.1007/s00209-013-1153-x

DO - 10.1007/s00209-013-1153-x

M3 - Article

AN - SCOPUS:84888134342

SN - 0025-5874

VL - 275

SP - 657

EP - 671

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

IS - 3-4

ER -

Non-embeddable real algebraic hypersurfaces

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this