Elliptic non-commutative Del Pezzo sufaces and related topics (R-4801)

Non-commutative algebraic geometry studies spaces with non-commuting coordinates. The simplest example is perhaps given by phase space in quantum mechanics where position (x) and momentum (p) satisfy px - xp = 1 (up to a normalization factor). Technically this phase space is an example of an affine non-commutative del Pezzo surface. Such non-commutative del Pezzo surfaces represent an active research area in non-commutative algebraic geometry but surprisingly their definition has not been fully fixed. One of the aims of the current project is to explore the relations between the various definitions.

Keywords:NON-COMMUTATIVE ALGEBRAIC GEOMETRY

Disciplines:Mathematical sciences and statistics