Explore: Deformations Of Analytic Structures

be many deformations of a single germ of analytic functions. Because of this, there are some book-keeping devices required to organize all of this information

its set of complex points X ( C ) {\displaystyle X(\mathbb {C} )} can be given the structure of a compact complex analytic space. This analytic space is

symplectic form; analytic structures, for Γ the pseudogroup of (real-)analytic diffeomorphisms of Rn; Riemann surfaces, for Γ the pseudogroup of invertible

space of the obstructions to extend infinitesimal deformations to actual deformations. The modular class of a Poisson manifold is a class in the first Poisson

Sernesi: Deformations of algebraic schemes M. Gross, M. Siebert, An invitation to toric degenerations M. Kontsevich, Y. Soibelman: Affine structures and non-Archimedean

,n\right\}.} An almost complex structure on a real 2n-manifold is a GL(n, C)-structure (in the sense of G-structures) – that is, the tangent bundle is

to compute a structure's deformations, internal forces, stresses, support reactions, velocity, accelerations, and stability. The results of the analysis

the International Congress of Mathematicians in 1962 at Stockholm with the talk On deformations of compact complex structures and in 1970 at Nice with the

and properties lie at the heart of the field of exact nonlinearity and integrable systems. Isomonodromic deformations were first studied by Richard Fuchs

and B Complex analytic space Complex Lie group Complex polytope Complex projective space Cousin problems Deformation Theory#Deformations of complex manifolds