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dc.contributor.author
Cattani, Eduardo
dc.contributor.author
Dickenstein, Alicia Marcela
dc.date.available
2023-09-29T19:16:07Z
dc.date.issued
2022-06
dc.identifier.citation
Cattani, Eduardo; Dickenstein, Alicia Marcela; Non-splitting Flags, Iterated Circuits, σ̲ -Matrices and Cayley Configurations; Springer; Vietnam Journal of Mathematics; 50; 3; 6-2022; 679-706
dc.identifier.issn
2305-221X
dc.identifier.uri
http://hdl.handle.net/11336/213685
dc.description.abstract
We explore four approaches to the question of defectivity for a complex projective toric variety XA associated with an integral configuration A. The explicit tropicalization of the dual variety XA∨ due to Dickenstein, Feichtner, and Sturmfels allows for the computation of the defect in terms of an affine combinatorial invariant ρ(A). We express ρ(A) in terms of affine invariants ι(A) associated to Esterov’s iterated circuits and λ(A), an invariant defined by Curran and Cattani in terms of a Gale dual of A. Thus we obtain formulae for the dual defect in terms of iterated circuits and Gale duals. An alternative expression for the dual defect of XA is given by Furukawa–Ito in terms of Cayley decompositions of A. We give a Gale dual interpretation of these decompositions and apply it to the study of defective configurations.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
CAYLEY DECOMPOSITIONS
dc.subject
DUAL DEFECT
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GALE DUAL
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ITERATED CIRCUITS
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NON-SPLITTING FLAGS
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PROJECTIVE TORIC VARIETIES
dc.subject
TROPICAL VARIETY
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
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CIENCIAS NATURALES Y EXACTAS
dc.title
Non-splitting Flags, Iterated Circuits, σ̲ -Matrices and Cayley Configurations
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-07-07T22:43:17Z
dc.identifier.eissn
2305-2228
dc.journal.volume
50
dc.journal.number
3
dc.journal.pagination
679-706
dc.journal.pais
Alemania
dc.journal.ciudad
Berlín
dc.description.fil
Fil: Cattani, Eduardo. University of Massachussets; Estados Unidos
dc.description.fil
Fil: Dickenstein, Alicia Marcela. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
dc.journal.title
Vietnam Journal of Mathematics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10013-022-00554-7
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10013-022-00554-7
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