Capítulo de Libro
Covariants Vanishing on Totally Decomposable Forms
Autor/es | Briand, Emmanuel |
Coordinador/Director | Alonso, María Emilia
Arrondo, Enrique Mallavibarrena, Raquel Sols, Ignacio |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2010 |
Fecha de depósito | 2021-05-25 |
Publicado en |
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ISBN/ISSN | 978-3-0346-0200-6 |
Resumen | We consider the problem of providing systems of equations characterizing
the forms with complex coefficients that are totally decomposable,
i.e., products of linear forms. Our focus is computational. We present the
well-known ... We consider the problem of providing systems of equations characterizing the forms with complex coefficients that are totally decomposable, i.e., products of linear forms. Our focus is computational. We present the well-known solution given at the end of the nineteenth century by Brill and Gordan and give a complete proof that their system does vanish only on the decomposable forms. We explore an idea due to Federico Gaeta which leads to an alternative system of equations, vanishing on the totally decomposable forms and on the forms admitting a multiple factor. Last, we give some insight on how to compute efficiently these systems of equations and point out possible further improvements. |
Agencias financiadoras | Ministerio de Ciencia e Innovación (MICIN). España Junta de Andalucía |
Identificador del proyecto | MTM2007–64509
FQM-333 |
Cita | Briand, E. (2010). Covariants Vanishing on Totally Decomposable Forms. En M.E. Alonso, E. Arrondo, R. Mallavibarrena, I. Sols (Ed.), Liaison, Schottky Problem and Invariant Theory : Remembering Federico Gaeta (pp. 237-256). Basel, Switzerland: Birkhäuser Verlag. |
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