On the relative projective space

dc.creatorData, Matias Ignacio
dc.creatorOsorio Morales, Maria Juliana
dc.date.accessioned2020-10-27T15:54:01Z
dc.date.accessioned2022-10-15T06:07:54Z
dc.date.available2020-10-27T15:54:01Z
dc.date.available2022-10-15T06:07:54Z
dc.date.created2020-10-27T15:54:01Z
dc.date.issued2019-02
dc.identifierData, Matias Ignacio; Osorio Morales, Maria Juliana; On the relative projective space; R. Rosebrugh; Theory And Applications Of Categories; 34; 3; 2-2019; 58-79
dc.identifier1201-561X
dc.identifierhttp://hdl.handle.net/11336/116921
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4353444
dc.description.abstractLet (C, ⊗, 1) be an abelian symmetric monoidal category satisfying certain exactness conditions. In this paper we define a presheaf P n C on the category of commutative algebras in C and we prove that this functor is a C-scheme in the sense of B. Toen and M. Vaquié. We give another definition and prove that they give isomorphic C-schemes. This construction gives us a context of non-associative relative algebraic geometry. The most important example of the construction is the octonionic projective space
dc.languageeng
dc.publisherR. Rosebrugh
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http://www.tac.mta.ca/tac/volumes/34/3/34-03.pdf
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectsymmetric monoidal category
dc.subjectalgebra object
dc.subjectline object
dc.subjectrelative scheme
dc.titleOn the relative projective space
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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