Session S07 - Differential operators in algebraic geometry and commutative algebra

Monday, July 19, 17:30 ~ 18:00 UTC-3

High order differentials and Hasse-Schmidt derivations

Daniel Duarte

Universidad Autónoma de Zacatecas - CONACyT, México   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

It was recently proved by T. de Fernex and R. Docampo that the module of differentials of the algebra of Hasse-Schmidt derivations of a ring can be described in terms of the module of differentials of the ring. This result was then applied to find a projectivization of induced maps on jets schemes. In this talk, we explore the analogous statements for the module of high order differentials.

Joint work with Paul Barajas (Universidad Autónoma de Zacatecas).

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