Chordal varieties of Veronese varieties and catalecticant matrices Vassil Kanev

@inproceedings{Kanev1998ChordalVO,
  title={Chordal varieties of Veronese varieties and catalecticant matrices Vassil Kanev},
  author={Vassil Kanev},
  year={1998}
}
  • Vassil Kanev
  • Published 1998
It is proved that the the chordal variety of the Veronese variety vd(P n−1) is projectively normal, arithmetically Cohen-Macaulay and its homogeneous ideal is generated by the 3× 3 minors of two catalecticant matrices. These results are generalized to the catalecticant varieties Gor≤(T ) with t1 = 2. Introduction The r-secant variety to the Segre variety σ(P × P) is the projectivization of the determinantal variety Mr(m,n) of matrices of rank ≤ r. Its homogeneous ideal is generated by the (r+1… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-10 of 27 references

The classification of Thom-Boardman strata which are Cohen-Macaulay along determinantal strata

T. Fukui, J. Weyman
PREPRINT • 1997
View 4 Excerpts
Highly Influenced

Smooth points of Gor(T

GPS A.V. Geramita, M. Pucci, Y. S. Shin
J. Pure Appl. Algebra • 1997

Hankel matrices and Hankel ideals, Queen’s

J. Watanabe
Papers in Pure Appl. Math • 1996

Inverse systems of fat points: Waring’s problem, secant varieties of Veronese varieties and parameter spaces for Gorenstein ideals, Queen’s

A. V. Geramita
Papers in Pure and Appl. Math • 1996

Rank varieties and their desingularizations

O. Porras
J. Algebra • 1996

The length of a homogeneous form, determinantal loci of catalecticants and Gorenstein algebras, book

A. Iarrobino, V. Kanev
1996

Commutative algebra

D. Eisenbud
Graduate Texts in Math., vol. 150, SpringerVerlag, Berlin and New York • 1995

Polar covariants of plane cubics and quartics

DK I. Dolgachev, V. Kanev
Adv. Math • 1993

vol

J. Harris, Algebraic geometry, Graduate Texts in Math.
133, Springer-Verlag, Berlin and New York, • 1992

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