Simone Virili

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20102023

most cited

t

-Structures on stable derivators and Grothendieck hearts

22 citations · 65 across the 14 of their papers we have counts for

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3 papers · 1 filter

math.CT2019★ 2 cited

Locally finitely presented and coherent hearts

Carlos E. Parra, Manuel Saorín, Simone Virili

Starting with a Grothendieck category $G$ and a torsion pair $t = (T, F)$ in $G$ , we study the local finite presentability and local co…

math.CT2017★ 22 cited

$t$ -Structures on stable derivators and Grothendieck hearts

Manuel Saorín, Jan Šťovíček, Simone Virili

We prove that given any strong, stable derivator and a $t$ -structure on its base triangulated category $D$ , the $t$ -structure canonically lifts to all the (coherent) diagram c…

math.CT2017★ 4 cited

Factorization systems on (stable) derivators

Fosco Loregian, Simone Virili

We define triangulated factorization systems on triangulated categories, and prove that a suitable subclass thereof (the normal triangulated torsion theories) corresponds bijective…

Locally finitely presented and coherent hearts

t-Structures on stable derivators and Grothendieck hearts

Factorization systems on (stable) derivators

$t$ -Structures on stable derivators and Grothendieck hearts