The hypersurface 𝑥+𝑥²𝑦+𝑧²+𝑡³=0 over a field of arbitrary characteristic-Reference-Cited by-同舟云学术

The hypersurface 𝑥+𝑥²𝑦+𝑧²+𝑡³=0 over a field of arbitrary characteristic

Published:2005-10-18 Issue:5 Volume:134 Page:1289-1298
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Crachiola Anthony

Abstract

We develop techniques for computing the AK invariant of domains with arbitrary characteristic. As an example, we show that for any field k \mathbf {k} the ring k [ X , Y , Z , T ] / ( X + X 2 Y + Z 2 + T 3 ) \mathbf {k}[X,Y,Z,T] / (X + X^2 Y + Z^2 + T^3) is not isomorphic to a polynomial ring over k \mathbf {k} .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2006-134-05/S0002-9939-05-08171-2/S0002-9939-05-08171-2.pdf

Reference17 articles.

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3. On the rigidity of small domains;Crachiola, A.;J. Algebra,2005

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5. Newton polytopes of invariants of additive group actions;Derksen, Harm;J. Pure Appl. Algebra,2001

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