Projects funded by the NCN
Tensor ranks and rank additivity property
2019/33/N/ST1/00068
Keywords:
tensor rank additivity of tensor rank Strassen's conjecture slices of tensor secant variety border rank. additivity of tensor border rank
Descriptors:
- ST1_4: Algebraic and complex geometry
Panel:
ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics
Host institution :
Instytut Matematyczny Polskiej Akademii Nauk
woj.
Principal investigator (from the host institution):
Number of co-investigators in the project: 2
Call: PRELUDIUM 17 - announced on 2019-03-15
Amount awarded: 84 994 PLN
Project start date (Y-m-d): 2020-10-01
Project end date (Y-m-d): 2022-09-30
Project duration:: 24 months (the same as in the proposal)
Project status: Project settled
Project description
Download the project description in a pdf file
Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.
Information in the final report
- Publication in academic press/journals (3)
- Distinguishing secant from cactus varietiesAuthors:M. Gałązka, T. Mańdziuk, F. RupniewskiAcademic press:Foundations of Computational Mathematics (rok: 2022, ), Wydawca: SpringerStatus:PublishedDOI:10.1007/s10208-022-09566-8 - link to the publication
- Strassen's rank additivity for small tensors, including tensors of rank less or equal 7Authors:Filip RupniewskiAcademic press:Linear Algebra and Its Applications (rok: 2023, tom: brak danych, strony: brak danych), Wydawca: ElsevierStatus:Submitted
- Distinguishing secant from cactus varietiesAuthors:M. Gałązka, T. Mańdziuk, F. RupniewskiAcademic press:Foundations of Computational Mathematics (rok: 2022, ), Wydawca: SpringerStatus:PublishedDOI:10.1007/s10208-022-09566-8 - link to the publication