Noether-Lefschetz Problems for Degeneracy Loci |
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| Series title: | Memoirs of the American Mathematical Society Ser. |
| ISBN: | 978-0-8218-3183-0 |
| Publication Date: | Jan 2003 |
| Publisher: | American Mathematical Society
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| Book Format: | Paperback |
| List Price: | AUD $98.00 |
Book Description:
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Studies the cohomology of degeneracy loci. This title assumes that $E\otimes F^\vee$ is ample and globally generated, and that $\psi$ is a general homomorphism. In order to study the cohomology of $Z$, it considers the Grassmannian bundle $\pi\colon Y:=\mathbb{{G}}(f-r,F)\to X$ of $(f-r)$-dimensional linear subspaces of the fibres of $F$.
Studies the cohomology of degeneracy loci. This title assumes that $E\otimes F^\vee$ is ample and globally generated, and that $\psi$ is a general homomorphism. In order to study the cohomology of $Z$, it considers the Grassmannian bundle $\pi\colon Y:=\mathbb{{G}}(f-r,F)\to X$ of $(f-r)$-dimensional linear subspaces of the fibres of $F$.