scholarly journals Projective normality of model varieties and related results

2016 ◽  
Vol 20 (3) ◽  
pp. 39-93 ◽  
Author(s):  
Paolo Bravi ◽  
Jacopo Gandini ◽  
Andrea Maffei
Keyword(s):  
Projective Normality

scholarly journals Projective normality of torus quotients of flag varieties

2020 ◽  
Vol 224 (10) ◽  
pp. 106389
Author(s):  
Arpita Nayek ◽  
S.K. Pattanayak ◽  
Shivang Jindal
Keyword(s):  
Flag Varieties ◽  
Projective Normality

On the projective normality of the adjunction bundles

1991 ◽  
Vol 66 (1) ◽  
pp. 362-367 ◽  
Author(s):  
Marco Andreatta ◽  
Andrew J. Sommese
Keyword(s):  
Projective Normality

Projective normality of varieties of small degree

1997 ◽  
Vol 25 (12) ◽  
pp. 3761-3771 ◽  
Author(s):  
Alberto Alzati ◽  
Marina Bertolini ◽  
Gian mario Besana
Keyword(s):  
Small Degree ◽  
Projective Normality

ON SOME STANDARD GRADED ALGEBRAS IN MODULAR INVARIANT THEORY

2013 ◽  
Vol 13 (01) ◽  
pp. 1350080
Author(s):  
S. K. PATTANAYAK
Keyword(s):  
Galois Field ◽  
Polynomial Rings ◽  
Indecomposable Representation ◽  
Modular Invariant ◽  
Graded Algebras ◽  
Finite Dimensional Representation ◽  
Finite Dimensional ◽  
Projective Normality ◽  
A Finite Group ◽  
Finite Linear

For a finite-dimensional representation V of a finite group G over a field K we denote the graded algebra R ≔ ⨁d≥0 Rd; where Rd ≔ ( Sym d∣G∣V*)G. We study the standardness of R for the representations [Formula: see text], [Formula: see text], and [Formula: see text], where Vn denote the n-dimensional indecomposable representation of the cyclic group Cp over the Galois field 𝔽p, for a prime p. We also prove the standardness for the defining representation of all finite linear groups with polynomial rings of invariants. This is motivated by a question of projective normality raised in [S. S. Kannan, S. K. Pattanayak and P. Sardar, Projective normality of finite groups quotients, Proc. Amer. Math. Soc.137(3) (2009) 863–867].

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