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 Tr. Mat. Inst. Steklova, 2004, Volume 246, Pages 321–327 (Mi tm164)

On the Group $GL(2,K[t])$

I. R. Shafarevich

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: The group mentioned in the title of the paper is one of the simplest examples of infinite-dimensional algebraic groups. In this paper, an increasing sequence of finite-dimensional schemes is constructed that exhausts this group. It is proved that these schemes are reduced and irreducible and are complete intersections. The set of singular points of these schemes is obtained.

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English version:
Proceedings of the Steklov Institute of Mathematics, 2004, 246, 308–314

Bibliographic databases:

Document Type: Article
UDC: 512.7
Received in December 2003

Citation: I. R. Shafarevich, “On the Group $GL(2,K[t])$”, Algebraic geometry: Methods, relations, and applications, Collected papers. Dedicated to the memory of Andrei Nikolaevich Tyurin, corresponding member of the Russian Academy of Sciences, Tr. Mat. Inst. Steklova, 246, Nauka, MAIK «Nauka/Inteperiodika», M., 2004, 321–327; Proc. Steklov Inst. Math., 246 (2004), 308–314

Citation in format AMSBIB
\Bibitem{Sha04} \by I.~R.~Shafarevich \paper On the Group $GL(2,K[t])$ \inbook Algebraic geometry: Methods, relations, and applications \bookinfo Collected papers. Dedicated to the memory of Andrei Nikolaevich Tyurin, corresponding member of the Russian Academy of Sciences \serial Tr. Mat. Inst. Steklova \yr 2004 \vol 246 \pages 321--327 \publ Nauka, MAIK «Nauka/Inteperiodika» \publaddr M. \mathnet{http://mi.mathnet.ru/tm164} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=2101302} \zmath{https://zbmath.org/?q=an:1112.14052} \transl \jour Proc. Steklov Inst. Math. \yr 2004 \vol 246 \pages 308--314