Slice-polynomial functions and twistor geometry of ruled surfaces in \(\mathbb {CP}^3\)

DOI10.1007/s00209-018-2225-8zbMath1415.53035arXiv1712.09946OpenAlexW3098584999MaRDI QIDQ2633098

Amedeo Altavilla, Giulia Sarfatti

Publication date: 8 May 2019

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.09946

zbMATH Keywords

twistor spacesslice regular functionsfunctions of hypercomplex variablesrational and ruled surfacesslice-polynomial functions

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Functions of hypercomplex variables and generalized variables (30G35) Twistor methods in differential geometry (53C28) Other generalizations of function theory of one complex variable (32A30)

Related Items (14)

Slice regular functions as covering maps and global \(\star\)-roots ⋮ On a class of orientation-preserving maps of \(\mathbb{R}^4\) ⋮ Generalized Bohr radius for slice regular functions over quaternions ⋮ Slice Fueter-regular functions ⋮ Twistor fibers in hypersurfaces of the flag threefold ⋮ Equivalence of slice semi-regular functions via Sylvester operators ⋮ Twistor lines on algebraic surfaces ⋮ Applications of the Sylvester operator in the space of slice semi-regular functions ⋮ Three topological results on the twistor discriminant locus in the 4-sphere ⋮ ALGEBRAIC SURFACES WITH INFINITELY MANY TWISTOR LINES ⋮ Spherical coefficients of slice regular functions ⋮ Transcendental operators acting on slice regular functions ⋮ Slice-by-slice and global smoothness of slice regular and polyanalytic functions ⋮ Twistor geometry of the flag manifold

Cites Work

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