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Extensions in MHM and Hain's Biextension Line Bundle - Part 2

Offered By: IMSA via YouTube

Tags

Algebraic Geometry Courses Cohomology Courses Complex Manifolds Courses

Course Description

Overview

Delve into the intricacies of biextension line bundles and their extensions in this 58-minute lecture by Patrick Brosnan from the University of Maryland. Explore the analytic line bundle L, associated with pairs of normal functions on a complex manifold U. Learn about Brosnan and Pearlstein's findings regarding the extension of L to a line bundle on a projective variety S, and its canonical extension as a Q-line bundle. Examine the topological invariant of normal functions represented by the first Chern class of L in the cohomology of U. Gain insights into the historical context of these computations, tracing back to foundational papers by Hain and Hain-Reed. Conclude with a formula for the Q-line bundle, providing a deeper understanding of these complex mathematical concepts.

Syllabus

Extensions in MHM and Hain's Biextension Line Bundle - Part 2


Taught by

IMSA

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