We prove the Singer conjecture for varieties with semismall Albanese map and residually finite fundamental group.

Singer conjecture for varieties with semismall Albanese map and residually finite fundamental group / L.F. Di Cerbo, L. Lombardi. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - 156:1(2026 Feb), pp. 122-128. [10.1017/prm.2024.52]

Singer conjecture for varieties with semismall Albanese map and residually finite fundamental group

L. Lombardi
Ultimo
2026

Abstract

We prove the Singer conjecture for varieties with semismall Albanese map and residually finite fundamental group.
Albanese map; L^2 Betti numbers; Singer conjecture; normalized Betti numbers; fundamental group;
Settore MAT/03 - Geometria
Settore MATH-02/B - Geometria
   Curves, Ricci flat Varieties and their Interactions
   MINISTERO DELL'ISTRUZIONE E DEL MERITO
   2020KKWT53_004

   Symplectic varieties: their interplay with Fano manifolds and derived categories
   MINISTERO DELL'UNIVERSITA' E DELLA RICERCA
   2022PEKYBJ_002
feb-2026
19-apr-2024
https://www.cambridge.org/core/journals/proceedings-of-the-royal-society-of-edinburgh-section-a-mathematics/article/singer-conjecture-for-varieties-with-semismall-albanese-map-and-residually-finite-fundamental-group/CDC1B251983D2C5192306E2A0A1FC8DC
Article (author)
File in questo prodotto:
File Dimensione Formato  
singer_conjecture_for_varieties_with_semismall_albanese_map_and_residually_finite_fundamental_group.pdf

accesso aperto

Tipologia: Publisher's version/PDF
Licenza: Creative commons
Dimensione 204.38 kB
Formato Adobe PDF
204.38 kB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

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/2434/1050060
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? 1
  • OpenAlex ND
social impact