Graded Bourbaki ideals of graded modules and Ideals of reduction number two

Shinya Kumashiro (Oyama College)

28-Jan-2022, 12:00-13:00 (2 years ago)

Abstract: In the first part of this talk, we explore graded Bourbaki ideals. It is a well-known fact that for torsionfree modules over Noetherian normal domains, Bourbaki sequences exist. We give criteria in terms of certain attached matrices for a homomorphism of modules to induce a Bourbaki sequences. In the second part of this talk, we give an application of graded Bourbaki sequences to Hilbert functions of m-primary ideals. We give the inequality of the first three Hilbert coefficients for ideals of reduction number two.

This talk is based on the joint work with J. Herzog and D. I. Stamate.

Mathematics

Audience: advanced learners


IIT Bombay Virtual Commutative Algebra Seminar

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Organizers: Jugal Kishore Verma*, Kriti Goel*, Parangama Sarkar, Shreedevi Masuti
Curator: Saipriya Dubey*
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