Pencils of fermat hypersurfaces and Galois cyclic covers of the projective line
Abstract/Contents
- Abstract
- Let $Z$ be a smooth intersection of two degree $p$ Fermat hypersurfaces in $\mathbb{P}^n$, and let $\pi:X\rightarrow \mathbb{P}^1$ be the pencil of hypersurfaces containing $Z$. We show that the irreducible $\mathbb{Q}$ sublocal systems of $\mathbf{R}^{n-1} \pi_*\underline{\mathbb{Q} }_X$ arise from monodromy of the Galois cyclic covers of $\mathbb{P}^1$. This can be viewed as a higher degree analog of M.\ Reid's result on the correspondence between smooth intersection of two quadrics and hyperelliptic curves.
Description
| Type of resource | text |
|---|---|
| Form | electronic; electronic resource; remote |
| Extent | 1 online resource. |
| Publication date | 2017 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Associated with | Pan, Donghai |
|---|---|
| Associated with | Stanford University, Department of Mathematics. |
| Primary advisor | Vakil, Ravi |
| Thesis advisor | Vakil, Ravi |
| Thesis advisor | Kemeny, Michael |
| Thesis advisor | Li, Jun, (Mathematician) |
| Advisor | Kemeny, Michael |
| Advisor | Li, Jun, (Mathematician) |
Subjects
| Genre | Theses |
|---|
Bibliographic information
| Statement of responsibility | Donghai Pan. |
|---|---|
| Note | Submitted to the Department of Mathematics. |
| Thesis | Thesis (Ph.D.)--Stanford University, 2017. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2017 by Donghai Pan
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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