On a noncommutative algebraic geometry

DOI10.4064/BC107-0-8zbMath1351.30036arXiv1501.01379OpenAlexW307054678MaRDI QIDQ2791817

Pierre Dolbeault

Publication date: 16 March 2016

Published in: Banach Center Publications (Search for Journal in Brave)

Abstract: Several sets of quaternionic functions are described and studied with respect to hy-perholomorphy, addition and (non commutative) multiplication, on open sets of H, then Hamil-ton 4-manifolds analogous to Riemann surfaces, for H instead of C, are defined, and so begin to describe a class of four dimensional manifolds.

Full work available at URL: https://arxiv.org/abs/1501.01379

zbMATH Keywords

quaternionshyperholomorphic functions

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Meromorphic functions of one complex variable (general theory) (30D30)

Related Items (3)

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