We discuss an approach to the secant non-defectivity of the varieties parametrising 𝑘th powers of forms of degree 𝑑. It employs a Terracini-type argument along with certain degeneration arguments, some of which are based on toric geometry. This implies a result on the identifiability of the Waring decompositions of general forms of degree kd as a sum of 𝑘th powers of degree 𝑑 forms, for which an upper bound on the Waring rank was proposed by Fröberg, Ottaviani and Shapiro

Waring identifiability for powers of forms via degenerations / Casarotti, Alex; Postinghel, Elisa. - In: PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6115. - 2024, 128:1(2024), pp. e1257901-e1257930. [10.1112/plms.12579]

Waring identifiability for powers of forms via degenerations

Casarotti, Alex
;
Postinghel, Elisa
2024-01-01

Abstract

We discuss an approach to the secant non-defectivity of the varieties parametrising 𝑘th powers of forms of degree 𝑑. It employs a Terracini-type argument along with certain degeneration arguments, some of which are based on toric geometry. This implies a result on the identifiability of the Waring decompositions of general forms of degree kd as a sum of 𝑘th powers of degree 𝑑 forms, for which an upper bound on the Waring rank was proposed by Fröberg, Ottaviani and Shapiro
2024
1
Casarotti, Alex; Postinghel, Elisa
Waring identifiability for powers of forms via degenerations / Casarotti, Alex; Postinghel, Elisa. - In: PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. - ISSN 0024-6115. - 2024, 128:1(2024), pp. e1257901-e1257930. [10.1112/plms.12579]
File in questo prodotto:
File Dimensione Formato  
WaringIdentifiability-CasarottiPostinghel.pdf

accesso aperto

Tipologia: Versione editoriale (Publisher’s layout)
Licenza: Creative commons
Dimensione 598.82 kB
Formato Adobe PDF
598.82 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/400490
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 0
  • ???jsp.display-item.citation.isi??? ND
social impact