X-ranks for embedded varieties and extensions of fields

Name: Work Video:
Duration: 3 min 30 s
Description: Let X ⊂ P r be a projective embedded variety defined over a field K. Results relating maximum and generic X-rank of points of P r (K) and P r (L) are given, where L is a field containing K. Some of these results are algebraically closed for K and L. In other results (e.g. on the cactus rank), L is a finite extension of K.
Edoardo Ballico
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