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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. RAN. Ser. Mat., 2015 Volume 79, Issue 5, Pages 201–214 (Mi im8295)

This article is cited in 8 papers

Hilbert's Nullstellensatz in algebraic geometry over rigid soluble groups

N. S. Romanovskiy

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: We discuss the problem of the possible form of an analogue of the classical Nullstellensatz of Hilbert in algebraic geometry over a suitable class of groups and prove such an analogue in the class of rigid soluble groups.

Keywords: group, soluble group, algebraic geometry.

UDC: 512.5

MSC: Primary 14A99; Secondary 03C05, 08B05, 20E99

Received: 10.09.2014

DOI: 10.4213/im8295


 English version:
Izvestiya: Mathematics, 2015, 79:5, 1051–1063

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© Steklov Math. Inst. of RAS, 2024