Secant varieties of Segre–Veronese varieties

@article{Raicu2010SecantVO,
  title={Secant varieties of Segre–Veronese varieties},
  author={Claudiu Raicu},
  journal={Algebra \& Number Theory},
  year={2010},
  volume={6},
  pages={1817-1868}
}
  • Claudiu Raicu
  • Published 26 November 2010
  • Mathematics
  • Algebra & Number Theory
Secant varieties of Segre and Veronese varieties (and more generally Segre-Veronese varieties, which are embeddings of a product of projective spaces via the complete linear system of an ample line bundle) are very classical objects that go back to the Italian school of mathematics in the 19-th century. Despite their apparent simplicity, little is known about their equations, and even less about the resolutions of their coordinate rings. The main goal of this thesis is to introduce a new method… 
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References

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We study the secant varieties of the Veronese varieties and of Veronese reembeddings of a smooth projective variety. We give some conditions, under which these secant varieties are set-theoretically
3x3 Minors of Catalecticants
Secant varieties to Veronese embeddings of projective space are classical varieties whose equations are not completely understood. Minors of catalecticant matrices furnish some of their equations,
3× 3 MINORS OF CATALECTICANTS
Secant varieties of Veronese embeddings of projective space are classical varieties whose equations are far from being understood. Minors of catalecticant matrices furnish some of their equations,
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TLDR
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TLDR
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