Title of Seminar: Algebraic Geometry Preprint Seminar 2023
Title of Talk: Saturation bounds for smooth varieties
Speaker: Vijaylaxmi Trivedi, TIFR, Mumbai
Date: November 7, 2023
Time: 16:00:00 Hours
Venue: AG-77
Abstract: In the above titled paper (L. Ein, H.T. Ha and R. Lazarsfeld, Algebra and Number Theory, Volume 16, 2022, No. 6) the authors give bounds on the saturation degrees of homogeneous ideals (and their powers) defining smooth complex projective varieties. For example they show that a clasical statement due to Macaulay for zero dimensional complete intersection ideals holds for smooth variety. For curves, they give bound on the saturation degree of powers in terms of the regularity.
Title of Talk: Saturation bounds for smooth varieties
Speaker: Vijaylaxmi Trivedi, TIFR, Mumbai
Date: November 7, 2023
Time: 16:00:00 Hours
Venue: AG-77
Abstract: In the above titled paper (L. Ein, H.T. Ha and R. Lazarsfeld, Algebra and Number Theory, Volume 16, 2022, No. 6) the authors give bounds on the saturation degrees of homogeneous ideals (and their powers) defining smooth complex projective varieties. For example they show that a clasical statement due to Macaulay for zero dimensional complete intersection ideals holds for smooth variety. For curves, they give bound on the saturation degree of powers in terms of the regularity.
Here we give some background and sketch proof of some of the results of the paper.