Pseudostable Hodge classes
| dc.contributor.author | Williams, Matthew M., author | |
| dc.contributor.author | Cavalieri, Renzo, advisor | |
| dc.contributor.author | Gillespie, Maria, committee member | |
| dc.contributor.author | Peterson, Chris, committee member | |
| dc.contributor.author | Tucker, Dustin, committee member | |
| dc.date.accessioned | 2024-09-09T20:52:07Z | |
| dc.date.available | 2024-09-09T20:52:07Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | We study the relationship between Hodge classes on moduli spaces of pseudostable and stable curves given by the contraction morphism T. While Mumford's relation does not hold in the pseudostable case, we show that one can express the (pullback via T of the) Chern classes of E ⊕ E^∨ solely in terms of strata and ψ classes. We organize the combinatorial structure of the pullback of products of two pseudostable λ classes and obtain an explicit comparison of arbitrary pseudostable and stable quadratic Hodge integrals, as well as certain families of cubic and higher degree pseudostable Hodge integrals. | |
| dc.format.medium | born digital | |
| dc.format.medium | doctoral dissertations | |
| dc.identifier | Williams_colostate_0053A_18455.pdf | |
| dc.identifier.uri | https://hdl.handle.net/10217/239243 | |
| dc.language | English | |
| dc.language.iso | eng | |
| dc.publisher | Colorado State University. Libraries | |
| dc.relation.ispartof | 2020- | |
| dc.rights | Copyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright. | |
| dc.subject | moduli space of curves | |
| dc.subject | pseudostable | |
| dc.subject | Mumford's relation | |
| dc.subject | Hodge integrals | |
| dc.title | Pseudostable Hodge classes | |
| dc.type | Text | |
| dcterms.rights.dpla | This Item is protected by copyright and/or related rights (https://rightsstatements.org/vocab/InC/1.0/). You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). | |
| thesis.degree.discipline | Mathematics | |
| thesis.degree.grantor | Colorado State University | |
| thesis.degree.level | Doctoral | |
| thesis.degree.name | Doctor of Philosophy (Ph.D.) |
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