Varieties of simultaneous sums of power for binary forms
The problem of simultaneous decomposition of binary forms as sums of powers of linear forms is studied. For generic forms the minimal number of linear forms needed is found and the space parametrizing all the possible decompositions is described. More generally the variety parametrizing the 0-dimens...
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| Format: | Article |
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Università degli Studi di Catania
2002-05-01
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| Series: | Le Matematiche |
| Online Access: | http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/199 |
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doaj-c4f5e0a6fd184ee8936decb601376dd82020-11-25T03:19:06ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982002-05-015718397177Varieties of simultaneous sums of power for binary formsEnrico CarliniThe problem of simultaneous decomposition of binary forms as sums of powers of linear forms is studied. For generic forms the minimal number of linear forms needed is found and the space parametrizing all the possible decompositions is described. More generally the variety parametrizing the 0-dimensional schemes apolar to a set of generic binary forms is described. These results are applied to the study of particular secant spaces of rational curves.<br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/199 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Enrico Carlini |
| spellingShingle |
Enrico Carlini Varieties of simultaneous sums of power for binary forms Le Matematiche |
| author_facet |
Enrico Carlini |
| author_sort |
Enrico Carlini |
| title |
Varieties of simultaneous sums of power for binary forms |
| title_short |
Varieties of simultaneous sums of power for binary forms |
| title_full |
Varieties of simultaneous sums of power for binary forms |
| title_fullStr |
Varieties of simultaneous sums of power for binary forms |
| title_full_unstemmed |
Varieties of simultaneous sums of power for binary forms |
| title_sort |
varieties of simultaneous sums of power for binary forms |
| publisher |
Università degli Studi di Catania |
| series |
Le Matematiche |
| issn |
0373-3505 2037-5298 |
| publishDate |
2002-05-01 |
| description |
The problem of simultaneous decomposition of binary forms as sums of powers of linear forms is studied. For generic forms the minimal number of linear forms needed is found and the space parametrizing all the possible decompositions is described. More generally the variety parametrizing the 0-dimensional schemes apolar to a set of generic binary forms is described. These results are applied to the study of particular secant spaces of rational curves.<br /> |
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http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/199 |
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AT enricocarlini varietiesofsimultaneoussumsofpowerforbinaryforms |
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