Stefano Ariotta

collaborators

2 papers

math.AT2021

Coherent cochain complexes and Beilinson t-structures, with an appendix by Achim Krause

Stefano Ariotta

We define and study coherent cochain complexes in arbitrary stable $\infty$ -categories, following Joyal. Our main result is that the $\infty$ -category of coherent cochain complexes…

math.AT2020

Deformations of $E_{\infty}$ -groups of units and logarithmic derivatives of $E_{\infty}$ -rings

Stefano Ariotta

We extend a classical fact about deformations of groups of units of commutative rings to $E_{\infty}$ -ring spectra, and we use this result to provide a map of spectra gene…

Coherent cochain complexes and Beilinson t-structures, with an appendix by Achim Krause

Deformations of E∞​-groups of units and logarithmic derivatives of E∞​-rings

Deformations of $E_{\infty}$ -groups of units and logarithmic derivatives of $E_{\infty}$ -rings