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math.AG2019★ 1 cited
On the bracket of integrable derivations
Luis Narváez-Macarro, María de la Paz Tirado Hernández
We prove that any multi-variate Hasse-Schmidt derivation can be decomposed in terms of substitution maps and uni-variate Hasse-Schmidt derivations. As a consequence we prove that t…
math.AG2019★ 1 cited
Hodge ideals of free divisors
Alberto Castaño Domínguez, Luis Narváez Macarro, Christian Sevenheck
We consider the Hodge filtration on the sheaf of meromorphic functions along free divisors for which the logarithmic comparison theorem holds. We describe the Hodge filtration step…