6 citations · 30 across the 17 of their papers we have counts for
20 papers
Holomorphic normal forms of six-dimensional totally nondegenerate CR manifolds in C^5
Masoud Sabzevari
The class of six-dimensional totally nondegenerate CR submanifolds in contains an infinite number of models parameterized by nonzero pairs $(a, b)\in\mathbb C\times\m…
Convergence of Normal Form Power Series for Infinite-Dimensional Lie Pseudo-Group Actions
Peter J. Olver, Masoud Sabzevari, Francis Valiquette
We prove the convergence of normal form power series for suitably nonsingular analytic submanifolds under a broad class of infinite-dimensional Lie pseudo-group actions. Our theore…
Complete normal forms for real hypersurfaces in at 2-nondegenerate points of Levi non-uniform rank zero
Masoud Sabzevari
We construct complete normal forms for -dimensional real hypersurfaces in which are -nondegenerate and also of Levi non-uniform rank zero at the origin point ${…
Normal forms, moving frames, and differential invariants for nondegenerate hypersurfaces in C^2
Peter J. Olver, Masoud Sabzevari, Francis Valiquette
We use the method of equivariant moving frames to revisit the problem of normal forms and equivalence of nondegenerate real hypersurfaces M \subset C^2 under the pseudo-group actio…
Convergent normal forms for five dimensional totally nondegenerate CR manifolds in C^4
Masoud Sabzevari
Applying the equivariant moving frames method, we construct convergent normal forms for real-analytic 5-dimensional totally nondegenerate CR submanifolds of C^4. These CR manifolds…
On the maximum conjecture
Masoud Sabzevari
We verify the maximum conjecture on the rigidity of totally nondegenerate model CR manifolds in the following two cases: (i) for all models of CR dimension one (ii) for the so-call…
On the geometric order of totally nondegenerate CR manifolds
Masoud Sabzevari, Andrea Spiro
A CR manifold , with CR distribution , is called {\it totally nondegenerate of depth } if: (a) the complex tangent space …
The rigidity of totally nondegenerate model CR manifolds
Masoud Sabzevari, Amir Hashemi
In this paper, we prove that every real analytic totally nondegenerate model CR manifold of length >= 3 has rigidity. This result was actually conjectured before by Valerii Belosha…
Totally nondegenerate models and standard manifolds in CR dimension one
Masoud Sabzevari
It is shown that two Levi-Tanaka and infinitesimal CR automorphism algebras, associated with a totally nondegenerate model of CR dimension one are isomorphic. As a result, the mode…
Biholomorphic equivalence to totally nondegenerate model CR manifolds and Beloshapka's maximum conjecture
Masoud Sabzevari
Applying Elie Cartan's classical method, we show that the biholomorphic equivalence problem to a totally nondegenerate Beloshapka's model of CR dimension one and codimension …
Moduli spaces of model real submanifolds: two alternative approaches
Masoud Sabzevari
Instead of the invariant theory approach employed by Beloshaoka and Mamai for constructing the moduli spaces of Beloshapka's universal CR-models, we consider two alternative approa…
Canonical Cartan Connections on Maximally Minimal Generic Submanifolds M^5 in C^4
Joel Merker, Samuel Pocchiola, Masoud Sabzevari
On a real analytic 5-dimensional CR-generic submanifold M^5 in C^4 of codimension 3, hence of CR dimension 1, which enjoys the generically satisfied nondegeneracy condition that Li…
Cartan equivalences for 5-dimensional CR-manifolds in C^4 belonging to General Class III_1
Masoud Sabzevari, Joel Merker
We reduce to various absolute parallelisms, namely to certain {e}-structures on manifolds of dimensions 7, 6, 5, the biholomorphic equivalence problem or the intrinsic CR equivalen…
Cartan equivalences for Levi-nondegenerate hypersurfaces M^3 in C^2 belonging to General Class I
Masoud Sabzevari, Joel Merker
We develope in great computational details the classical Cartan equivalence problem for Levi-nondegenerate C^6-smooth real hypersurfaces M^3 in C^2, performing all calculations eff…
Equivalences of 5-dimensional CR manifolds (II): General classes I, II, III-1, III-2, IV-1, IV-2
Joel Merker, Samuel Pocchiola, Masoud Sabzevari
For later use in subsequent upcoming arxiv.org prepublications, basic foundational material on local, smooth or real analytic, CR-generic submanifolds of complex Euclidean spaces i…
Lie algebras of infinitesimal CR-automorphisms of finite type, holomorphically nondegenerate, weighted homogeneous CR-generic submanifolds of C^N
Masoud Sabzevari, Amir Hashemi, Benyamin M. -Alizadeh +1
We consider the significant class of holomorphically nondegenerate CR manifolds of finite type that are represented by some weighted homogeneous polynomials and we derive some usef…
Applications of differential algebra for computing Lie algebras of infinitesimal CR-automorphisms
Masoud Sabzevari, Amir Hashemi, Benyamin M. -Alizadeh +1
We perform detailed computations of Lie algebras of infinitesimal CR-automorphisms associated to three specific model real analytic CR-generic submanifolds in C^9 by employing diff…
Modules Satisfying the Prime Radical Condition and a Sheaf Construction for Modules II
Mansour Aghasi, Mahmood Behboodi, Masoud Sabzevari
In this paper we continue our study of modules satisfying the prime radical condition (-radical modules), that was introduced in Part I (see \cite{BS}). Let be a co…
Modules Satisfying the Prime Radical Condition and a Sheaf Construction for Modules I
Mahmood Behboodi, Masoud Sabzevari
The purpose of this paper and its sequel, is to introduce a new class of modules over a commutative ring , called -radical modules (modules satisfying the prime…
A Groebner-bases algorithm for the computation of the cohomology of Lie (super) algebras
Benyamin M. -Alizadeh, Joel Merker, Masoud Sabzevari
We present an effective algorithm for computing the standard cohomology spaces of finitely generated Lie (super) algebras over a commutative field K of characteristic zero. In orde…