Search Results - "Di Scala, Antonio J."
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On the condition number of the Vandermonde matrix of the nth cyclotomic polynomial
Published in Journal of mathematical cryptology (01-01-2021)“…Recently, Blanco-Chacón proved the equivalence between the Ring Learning With Errors and Polynomial Learning With Errors problems for some families of…”
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2
Special Subsets of Addresses for Blockchains Using the secp256k1 Curve
Published in Mathematics (Basel) (01-08-2022)“…In 2020, Sala, Sogiorno and Taufer were able to find the private keys of some Bitcoin addresses, thus being able to spend the cryptocurrency linked to them…”
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A note on cyclotomic polynomials and Linear Feedback Shift Registers
Published in Quaestiones mathematicae (02-11-2022)“…Linear Feedback Shift Registers (LFSR) are tools commonly used in cryptography in many contexts, for example as pseudo-random numbers generators. In this paper…”
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RLWE and PLWE over cyclotomic fields are not equivalent
Published in Applicable algebra in engineering, communication and computing (01-05-2024)“…We prove that the Ring Learning With Errors (RLWE) and the Polynomial Learning With Errors (PLWE) problems over the cyclotomic field Q ( ζ n ) are not…”
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The relative nullity of complex submanifolds and the Gauss map
Published in Proceedings of the American Mathematical Society (01-04-2016)“…We give a short and geometric proof, based on Jacobi fields, of a theorem of K. Abe that asserts that the relative index of nullity is trivial for complete…”
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On embeddings of almost complex manifolds in almost complex Euclidean spaces
Published in Journal of geometry and physics (01-03-2016)“…We prove that any compact almost complex manifold (M2m,J) of real dimension 2m admits a pseudo-holomorphic embedding in (R4m+2,J̃) for a suitable positive…”
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A characterization of varieties whose universal cover is a bounded symmetric domain without ball factors
Published in Advances in mathematics (New York. 1965) (01-06-2014)“…We give two characterizations of varieties whose universal cover is a bounded symmetric domain without ball factors in terms of the existence of a holomorphic…”
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On the extendability of parallel sections of linear connections
Published in Annali di matematica pura ed applicata (01-08-2016)“…Let π : E → M be a vector bundle over a simply connected manifold, ∇ a linear connection in π , and σ : U → E a ∇ -parallel section of π defined on a connected…”
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A characterization of varieties whose universal cover is the polydisk or a tube domain
Published in Mathematische annalen (01-06-2013)“…In this article we give necessary and sufficient conditions, in terms of certain tensors called semispecial tensors, respectively slope zero tensors, in order…”
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Chern-flat and Ricci-flat invariant almost Hermitian structures
Published in Annals of global analysis and geometry (01-06-2011)“…We study left-invariant almost Hermitian structures on homogeneous spaces having either flat Chern connection or flat Ricci–Chern form. Many examples are…”
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Kähler maps of Hermitian symmetric spaces into complex space forms
Published in Geometriae dedicata (01-03-2007)Get full text
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The Bisymplectomorphism Group of a Bounded Symmetric Domain
Published in Transformation groups (01-06-2008)“…We determine the group of diffeomorphisms of a bounded symmetric domain, which preserve simultaneously the hyperbolic and the at symplectic form…”
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Regla de l'Hôpital para sucesiones
Published in Revista de educación matemática (18-08-2021)Get full text
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Group law on affine conics and applications to cryptography
Published in Applied mathematics and computation (15-11-2021)“…•We give an overview of the group’s structure of conics seen as the irreducible component of a projective reducible cubic.•We explicit group’s operations and…”
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Representations of group actions and their applications in cryptography
Published in Finite fields and their applications (01-10-2024)“…Cryptographic group actions provide a flexible framework that allows the instantiation of several primitives, ranging from key exchange protocols to PRFs and…”
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El Teorema de Dehn
Published in Revista de educación matemática (26-01-2018)Get full text
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Cones and Cartan geometry
Published in Differential geometry and its applications (01-10-2021)“…We show that the extended principal bundle of a Cartan geometry of type (A(m,R),GL(m,R)), endowed with its extended connection ωˆ, is isomorphic to the…”
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Mok's characteristic varieties and the normal holonomy group
Published in Advances in mathematics (New York. 1965) (21-02-2017)“…In this paper we complete the study of the normal holonomy groups of complex submanifolds (non nec. complete) of Cn or CPn. We show that irreducible but…”
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Killing vector fields of constant length on compact hypersurfaces
Published in Geometriae dedicata (01-04-2015)“…We show that if a compact hypersurface M ⊂ R n + 1 , n ≥ 3 , admits a non zero Killing vector field X of constant length then n is odd and M is diffeomorphic…”
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Variationally complete representations are polar
Published in Proceedings of the American Mathematical Society (01-11-2001)“…A recent result of C. Gorodski and G. Thorbergsson, involving classification, asserts that a variationally complete representation is polar. The aim of this…”
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