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Klaus Altmann (FU Berlin)
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Klaus Altmann (FU Berlin)
25 June 2020
"Displaying the cohomology of toric line bundles"
Line bundles L on projective toric varieties can be understood as formal differences (Δ^+ - Δ^-) of convex polyhedra in the character lattice. We show how it is possible to use this language for understanding the cohomology of L by studying the set-theoretic difference (Δ^- \ Δ^+). Moreover, when interpreting these cohomology groups as certain Ext-groups, we demonstrate how the approach via (Δ^- \ Δ^+) leads to a direct description of the associated extensions.
The first part is joint work with Jarek Buczinski, Lars Kastner, David Ploog, and Anna-Lena Winz; the second is work in progress with Amelie Flatt.
Visit the Online Algebraic Geometry Seminar webpage at:
25 June 2020
"Displaying the cohomology of toric line bundles"
Line bundles L on projective toric varieties can be understood as formal differences (Δ^+ - Δ^-) of convex polyhedra in the character lattice. We show how it is possible to use this language for understanding the cohomology of L by studying the set-theoretic difference (Δ^- \ Δ^+). Moreover, when interpreting these cohomology groups as certain Ext-groups, we demonstrate how the approach via (Δ^- \ Δ^+) leads to a direct description of the associated extensions.
The first part is joint work with Jarek Buczinski, Lars Kastner, David Ploog, and Anna-Lena Winz; the second is work in progress with Amelie Flatt.
Visit the Online Algebraic Geometry Seminar webpage at:
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