Salvatore Floccari's Webpage

Research interests

• algebraic cycles and motives
• hyper-Kähler manifolds
• abelian varieties
• Hodge theory
• derived categories and moduli spaces of sheaves

Preprints

• The Hodge conjecture for Weil fourfolds with discriminant 1 via singular OG6-varieties (with L. Fu) (2025) arXiv


• K3 surfaces associated with varieties of generalized Kummer type (2025) arXiv
  to appear in Geometry & Topology


• The Hodge and Tate conjectures for hyper-Kähler sixfolds of generalized Kummer type (2023) arXiv

Articles

• Algebraic cycles on hyper-Kähler varieties of generalized Kummer type (with M. Varesco)
  Mathematische Annalen, vol. 391, pp. 4443-4453 (2025) journal arXiv


• Sixfolds of generalized Kummer type and K3 surfaces
  Compositio Mathematica, vol. 160, no. 2, pp. 388-410 (2024) journal arXiv


• On the motive of O'Grady's six-dimensional hyper-Kähler varieties
  Épijournal de Géométrie Algébrique, vol. 7, article no. 4 (2023) journal arXiv


• Galois representations on the cohomology of hyper-Kähler varieties
  Mathematische Zeitschrift, vol. 301, no. 1, pp. 893-916 (2022) journal arXiv


• On the Mumford-Tate conjecture for hyper-Kähler varieties
  Manuscripta Mathematica, vol. 168, no. 3-4, pp. 309-324 (2022) journal arXiv


• On the motive of O'Grady's ten-dimensional hyper-Kähler varieties (with L. Fu and Z. Zhang) Erratum
  Communications in Contemporary Mathematics, vol. 23, no. 4, article no. 2050034 (2021) journal arXiv

Thesis

• Motives of hyper-Kähler varieties
  Ph.D. thesis, Radboud University Nijmegen (2021) link