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.
The secant line variety to the varieties of reducible plane curves / Catalisano M.V.; Geramita A.V.; Gimigliano A.; Shin Y.-S.. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - STAMPA. - 195:2(2016), pp. 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.
