A note on projective normality

Authors:
Huah Chu, Shou-Jen Hu and Ming-chang Kang

Journal:
Proc. Amer. Math. Soc. **139** (2011), 1989-1992

MSC (2010):
Primary 13A02, 13A50, 14Lxx

DOI:
https://doi.org/10.1090/S0002-9939-2010-10777-3

Published electronically:
November 15, 2010

MathSciNet review:
2775375

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be any finite group, be a representation of , where is a finite-dimensional vector space over an algebraically closed field . Theorem. Assume that either or with . Then the quotient variety is projectively normal with respect to the line bundle , where is the descent of from with . This partially solves a question raised in the paper of Kannan, Pattanayak and Sardar [Proc. Amer. Math. Soc. 137 (2009), 863-867].

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Additional Information

**Huah Chu**

Affiliation:
Department of Mathematics, National Taiwan University, Taipei, Taiwan

Email:
hchu@math.ntu.edu.tw

**Shou-Jen Hu**

Affiliation:
Department of Mathematics, Tamkang University, Taipei, Taiwan

Email:
sjhu@math.tku.edu.tw

**Ming-chang Kang**

Affiliation:
Department of Mathematics and Taida Institute of Mathematical Sciences, National Taiwan University, Taipei, Taiwan

Email:
kang@math.ntu.edu.tw

DOI:
https://doi.org/10.1090/S0002-9939-2010-10777-3

Keywords:
Projectively normal,
rings of invariants,
graded algebras

Received by editor(s):
December 6, 2009

Received by editor(s) in revised form:
June 4, 2010

Published electronically:
November 15, 2010

Communicated by:
Ted Chinburg

Article copyright:
© Copyright 2010
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.