DME: a full encryption, signature and KEM multivariate public key cryptosystem

Autor: Luengo Velasco, Ignacio, Avendaño González, Martín Eugenio

DME is a multivariate public key cryptosystem based on the composition of linear and exponential maps that allow the polynomials of the public key to be of a very high degree. A previous version of DME ([3]) was presented to the NIST call for postqua

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=od_______126::65a71e60ecabdbf2576b23421c605615
https://eprints.ucm.es/id/eprint/75692/

An equivariant version of the monodromy zeta function

Autor: Melle Hernández, Alejandro, Gusein-Zade, Sabir Medgidovich, Luengo Velasco, Ignacio

Publikováno v: E-Prints Complutense: Archivo Institucional de la UCM
Universidad Complutense de Madrid
E-Prints Complutense. Archivo Institucional de la UCM
instname

We offer an equivariant version of the classical monodromy zeta function of a singularity as a series with coefficients from the Grothendieck ring of finite G-sets tensored by the field of rational numbers. Main two ingredients of the definition are

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8c58f7faca0ace4115b19ab3ad3f1025
https://eprints.ucm.es/id/eprint/13340/1/2008equivariant.pdf

Quasi-Ordinary power series and their Zeta functions

Autor: Melle Hernández, Alejandro, Artal Bartolo, Enrique, Cassou-Noguès, Pierrette, Luengo Velasco, Ignacio

Publikováno v: E-Prints Complutense. Archivo Institucional de la UCM
instname
Memoirs of the American Mathematical Society
Memoirs of the American Mathematical Society, American Mathematical Society, 2005, 178 (841), pp.85
E-Prints Complutense: Archivo Institucional de la UCM
Universidad Complutense de Madrid

The main objective of this paper is to prove the monodromy conjecture for the local Igusa zeta function of a quasi-ordinary polynomial of arbitrary dimension defined over a number field. In order to do it, we compute the local Denef-Loeser motivic ze

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::1d497d7d595d8550c3166cd5e36ce3e5
https://eprints.ucm.es/id/eprint/13919/1/20030306249v1.pdf

On the topology of germs of meromorphic functions

Autor: Melle Hernández, Alejandro, Gusein-Zade, Sabir Medgidovich, Luengo Velasco, Ignacio

Publikováno v: E-Prints Complutense. Archivo Institucional de la UCM
instname
E-Prints Complutense: Archivo Institucional de la UCM
Universidad Complutense de Madrid

In a previous paper the authors elaborated notions and technique which could be applied to compute such invariants of polynomials as Euler characteristics of fibres and zeta-functions of monodromy transformations associated with a polynomial. Some cr

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::58b929f81c3b63c5f803711e30817bb1
http://eprints.ucm.es/12908/

A formula for the Milnor Number

Autor: Melle Hernández, Alejandro, Luengo Velasco, Ignacio

Publikováno v: E-Prints Complutense: Archivo Institucional de la UCM
Universidad Complutense de Madrid
E-Prints Complutense. Archivo Institucional de la UCM
instname

We give a formula for the Milnor number of a germ (X,0) subset of (C-n+1,0) defined by f=0, f=f(d)+f(d+k)+...epsilon C {x(0),...,x(n)}, and such that Sing(D) boolean AND Z (f(d+k)) = circle divide, where D=Z (f(d)) subset of P-C(n). We prove that the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::3eb24ca8ba101cc5d947d4e23382c874
http://eprints.ucm.es/12903/