Let (Formula presented.) be a partition of (Formula presented.). Consider the variety (Formula presented.) , parameterizing forms (Formula presented.) which are the product of (Formula presented.) forms (Formula presented.) , with (Formula presented.). We study the secant line variety (Formula presented.) , and we determine, for all (Formula presented.) and (Formula presented.) , whether or not such a secant variety is defective. Defectivity occurs in infinitely many “unbalanced” cases.
Catalisano M.V., Geramita A.V., Gimigliano A., Shin Y.-S. (2016). The secant line variety to the varieties of reducible plane curves. ANNALI DI MATEMATICA PURA ED APPLICATA, 195(2), 423-443 [10.1007/s10231-014-0470-y].
The secant line variety to the varieties of reducible plane curves
Gimigliano A.
;
2016
Abstract
Let (Formula presented.) be a partition of (Formula presented.). Consider the variety (Formula presented.) , parameterizing forms (Formula presented.) which are the product of (Formula presented.) forms (Formula presented.) , with (Formula presented.). We study the secant line variety (Formula presented.) , and we determine, for all (Formula presented.) and (Formula presented.) , whether or not such a secant variety is defective. Defectivity occurs in infinitely many “unbalanced” cases.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
