On triple Veronese embeddings of \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbb {P}^n$\end{document} in the Grassmannians

2011 ◽  
Vol 284 (11-12) ◽  
pp. 1453-1461 ◽  
Author(s):  
Sukmoon Huh
Keyword(s):  
Veronese Embeddings

scholarly journals GL-EQUIVARIANT MODULES OVER POLYNOMIAL RINGS IN INFINITELY MANY VARIABLES. II

2019 ◽  
Vol 7 ◽  
Author(s):  
STEVEN V SAM ◽  
ANDREW SNOWDEN
Keyword(s):  
Commutative Algebra ◽  
Polynomial Rings ◽  
Commutative Algebras ◽  
Representation Stability ◽  
Veronese Embeddings ◽  
Twisted Commutative Algebras

Twisted commutative algebras (tca’s) have played an important role in the nascent field of representation stability. Let $A_{d}$ be the tca freely generated by $d$ indeterminates of degree 1. In a previous paper, we determined the structure of the category of $A_{1}$-modules (which is equivalent to the category of $\mathbf{FI}$-modules). In this paper, we establish analogous results for the category of $A_{d}$-modules, for any $d$. Modules over $A_{d}$ are closely related to the structures used by the authors in previous works studying syzygies of Segre and Veronese embeddings, and we hope the results of this paper will eventually lead to improvements on those works. Our results also have implications in asymptotic commutative algebra.

scholarly journals Secant varieties to osculating varieties of Veronese embeddings of Pn

2009 ◽  
Vol 321 (3) ◽  
pp. 982-1004 ◽  
Author(s):  
A. Bernardi ◽  
M.V. Catalisano ◽  
A. Gimigliano ◽  
M. Idà
Keyword(s):  
Secant Varieties ◽  
Veronese Embeddings

scholarly journals On the ranks of the third secant variety of Segre–Veronese embeddings

2018 ◽  
Vol 67 (3) ◽  
pp. 583-597
Author(s):  
Edoardo Ballico ◽  
Alessandra Bernardi
Keyword(s):  
Secant Variety ◽  
The Third ◽  
Veronese Embeddings

scholarly journals Regularity and Segre-Veronese embeddings

2009 ◽  
Vol 137 (06) ◽  
pp. 1883-1890 ◽  
Author(s):  
David A. Cox ◽  
Evgeny Materov
Keyword(s):  
Veronese Embeddings
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