ALGEBRAIC GEOMETRY OVER GROUPS II. LOGICAL FOUNDATIONS

By Alexei G. Myasnikov, Vladimir Nikanorovich Remeslennikov. 2000

157 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/d8e290697122c6bb2a73d40a47743d3662a7ba3a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. Nikolay S. Romanovskii
2. N. Romanovskiy
3. E. Daniyarova
4. Alexei G. Myasnikov
5. Vladimir Nikanorovich Remeslennikov
6. Olga Kharlampovich
7. Jorge Almeida

In Mathematical Physics

1. Nikolay S. Romanovskii
2. N. Romanovskiy
3. Alexei G. Myasnikov
4. E. Daniyarova
5. Vladimir Nikanorovich Remeslennikov
6. Olga Kharlampovich
7. Jorge Almeida

Citations in the corpus

• Krull dimension of solvable groups (2008, methodology): “Here we approach groups via algebraic or Diophantine geometry over groups (see [2, 41] for details), so our primary concern is the Zariski dimension.”
• Equational Noetherianness of rigid soluble groups (2009, background): “Algebraic geometry over groups has been developed in [6, 7 ]. For a given group A ,d enote byF the free product ofA and a free group with basis {x1 ,...,x n} .A set S ⊆ A n of solutions for some”
• Unification theorems in algebraic geometry (2008, background): “Research in this area started with a series of papers by Plotkin [36, 37], Baumslag, Kharlampovich, Myasnikov, and Remeslennikov [4, 34, 24, 25].”