 RIUMA Principal
 Listar por autor
Listar por autor "TocinoSánchez, Alicia"
Mostrando ítems 117 de 17

Automorphism groups of Cayley evolution algebras
Costoya Ramos, María Cristina; Muñoz, Vicente; TocinoSánchez, Alicia; ViruelArbaizar, Antonio Ángel (Springer Nature, 2023)In this paper we introduce a new species of evolution algebras that we call Cayley evolution algebras. We show that if a field k contains sufficiently many elements (for example if k is infinite) then every finite group ... 
Best rank k approximation for binary forms.
Ottaviani, Giorgio; TocinoSánchez, Alicia (Springer Nature, 20170911)In the tensor space SymdR2 of binary forms we study the best rank k approximation problem. The critical points of the best rank 1 approximation problem are the eigenvectors and it is known that they span a hyperplane. ... 
Best rankk approximations for tensors: generalizing EckartYoung
TocinoSánchez, Alicia (20200203)Joint work with Jan Draisma and Giorgio Ottaviani. Given a tensor f in a Euclidean tensor space, we are interested in the critical points of the distance function from f to the set of tensors of rank at most k, which we ... 
Best rankk approximations for tensors: generalizing Eckart–Young
Draisma, Jan; Ottaviani, Giorgio; TocinoSánchez, Alicia (Springer Link, 2018)Given a tensor f in a Euclidean tensor space, we are interested in the critical points of the distance function from f to the set of tensors of rank at most k, which we call the critical rankatmostk tensors for f. When ... 
Celebrative Talk. Enrique's Homemade Algebraic Geometry.
TocinoSánchez, Alicia (2023)During the talk, Enrique Arrondo's life and mathematical research were highlighted, intertwining his career with a touch of history and significant photos that captured important moments in Enrique's life. Enrique's ... 
Cohomological characterization of universal bundles of G(1,n)
Arrondo, Enrique; TocinoSánchez, Alicia (Elsevier, 2019)We characterize directs sums of twists of symmetric powers of the universal quotient bundle over the Grassmannian of lines. We use a method that could be used for analogue results on any arbitrary variety, and that should ... 
Cohomological characterization of universal bundles of G(1,n)
Arrondo, Enrique; TocinoSánchez, Alicia (Elsevier, 20191215)We characterize directs sums of twists of symmetric powers of the universal quotient bundle over the Grassmannian of lines. We use a method that could be used for analogue results on any arbitrary variety, and that should ... 
Connecting ideals in evolution algebras with hereditary subsets of its associated graph
CabreraCasado, Yolanda; MartínBarquero, Dolores; MartínGonzález, Cándido; TocinoSánchez, Alicia (2023)In this article, we introduce a relation including ideals of an evolution algebra and hereditary subsets of vertices of its associated graph andestablish some properties among them. This relation allows us to determinemaximal ... 
Homemade algebraic geometry: celebrating Enrique Arrondo’s 60th birthday
Marchesi, Simone; TocinoSánchez, Alicia (Springer, 2024)In this survey we recognize Enrique Arrondo’s contributions over the whole of his career, recalling his professional history and collecting the results of his mathematical productio 
On simple evolution algebras of dimension two and three. Constructing simple and semisimple evolution algebras.
CabreraCasado, Yolanda; MartínBarquero, Dolores; MartínGonzález, Cándido; TocinoSánchez, Alicia (Taylor & Francis, 20240513)This work classifies threedimensional simple evolution algebras over arbitrary fields. For this purpose, we use tools such as the associated directed graph, the moduli set, inductive limit group, Zariski topology and the ... 
Regular evolution algebras are universally finite.
Costoya Ramos, María Cristina; Ligouras, Panagiote; TocinoSánchez, Alicia; ViruelArbaizar, Antonio Ángel (AMS, 20211214)In this paper we show that evolution algebras over any given field k are universally finite. In other words, given any finite group G, there exist infinitely many regular evolution algebras X such that Aut(X) ∼= G. The ... 
Tensor Product of Evolution Algebras
CabreraCasado, Yolanda; MartínBarquero, Dolores; MartínGonzález, Cándido; TocinoSánchez, Alicia (Springer Nature, 20221228)The starting point of this work is the fact that the class of evolution algebras over a fixed field is closed under tensor product. We prove that, under certain conditions, the tensor product is an evolution algebra if and ... 
Tensor product of evolution algebras.
CabreraCasado, Yolanda; MartínBarquero, Dolores; MartínGonzález, Cándido; TocinoSánchez, Alicia (SpringerLink, 20221228)The starting point of this work is the fact that the class of evolution algebras over a fixed field is closed under tensor product. We prove that, under certain conditions, the tensor product is an evolution algebra if and ... 
The hyperdeterminant vanishes on all but two Schur functors
TocinoSánchez, Alicia (Elsevier, 2016)We recall the notion of hyperdeterminant of a multidimensional matrix (tensor). We prove that if we restrict the hyperdeterminant to a skewsymmetric tensor p V ⊆ V ⊗p with p ≥ 3 then it vanishes. The hyperdeterminant ... 
The hyperdeterminant vanishes on all but two Schur functors
TocinoSánchez, Alicia (Elsevier, 20160315)We recall the notion of hyperdeterminant of a multidimensional matrix (tensor). We prove that if we restrict the hyperdeterminant to a skewsymmetric tensor with then it vanishes. The hyperdeterminant also vanishes when ... 
Using Peer Review for Student Performance Enhancement: Experiences in a Multidisciplinary Higher Education Setting
SerranoAguilera, Juan José; TocinoSánchez, Alicia; FortesRodríguez, Sergio; MartínFernández, Cristian; MercadeMele, Pere; MorenoSáez, Rafael Jesús; MuñozGallego, Antonio Jesús; PalomoHierro, Sara; TorresSignes, Antoni[et al.] (MDPI, 20210213)Nowadays one of the main focuses of the Spanish University system is achieving the active learning paradigm in the context of its integration into the European Higher Education Area. This goal is being addressed by means ... 
Using Peer Review for Student Performance Enhancement: Experiences in a Multidisciplinary Higher Education Setting.
SerranoAguilera, Juan José; TocinoSánchez, Alicia; FortesRodríguez, Sergio; MartínFernández, Cristian; MercadeMele, Pere; MorenoSáez, Rafael Jesús; MuñozGallego, Antonio Jesús; PalomoHierro, Sara; TorresSignes, Antoni[et al.] (MDPI, 202102)Nowadays one of the main focuses of the Spanish University system is achieving the active learning paradigm in the context of its integration into the European Higher Education Area. This goal is being addressed by means ...