Lucas Mann

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math.AG2024

A 6-functor formalism for solid quasi-coherent sheaves on the Fargues-Fontaine curve

Johannes AnschÃ¼tz, Arthur-CÃ©sar Le Bras, Lucas Mann

We develop a 6-functor formalism $D_{[0, \infty)} (-)$ with $Z_{p}$ -linear coefficients on small v-stacks, and discuss consequences for duality and finiteness for pr…

math.AG2024

Descent for solid quasi-coherent sheaves on perfectoid spaces

Johannes AnschÃ¼tz, Lucas Mann

We prove $v$ -descent for solid quasi-coherent sheaves on perfectoid spaces as a key technical input for the development of a $6$ -functor formalism with values in solid quasi-cohere…