Chow groups and characteristic numbers on the space of complete quadrics
Abstract/Contents
- Abstract
- It is well-known that there are 3264 conics in P^2 that are tangent to 5 general smooth quadrics. This result can be proved by taking a suitable space that parametrizes conics in P^2 and computing C^5, where C is the divisor corresponding to the condition of being tangent to a general conic. To answer similar enumerative questions about quadrics in P^n, we use the space of complete n-quadrics, X_n. In this thesis we will give a brief overview of the equivalent ways of defining this space, determine ranks and generators of its Chow groups, and describe how one would use intersection theory on this space to compute the answers to enumerative problems involving hitting and tangency conditions.
Description
| Type of resource | text |
|---|---|
| Form | electronic resource; remote; computer; online resource |
| Extent | 1 online resource. |
| Place | California |
| Place | [Stanford, California] |
| Publisher | [Stanford University] |
| Copyright date | 2019; ©2019 |
| Publication date | 2019; 2019 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Author | Stanton, Caitlin King | |
|---|---|---|
| Degree supervisor | Vakil, Ravi | |
| Thesis advisor | Vakil, Ravi | |
| Thesis advisor | Kemeny, Michael | |
| Thesis advisor | Larson, Eric, 1991- | |
| Degree committee member | Kemeny, Michael | |
| Degree committee member | Larson, Eric, 1991- | |
| Associated with | Stanford University, Department of Mathematics. |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Caitlin King Stanton. |
|---|---|
| Note | Submitted to the Department of Mathematics. |
| Thesis | Thesis Ph.D. Stanford University 2019. |
| Location | electronic resource |
Access conditions
- Copyright
- © 2019 by Caitlin King Stanton
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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