An Additive Basis for the Chow Ring of M₀,₂(Pr,2)
We begin a study of the intersection theory of the moduli spaces of degree two stable maps from two-pointed rational curves to arbitrary-dimensional projective space. First we compute the Betti numbers of these spaces using Serre polynomial and equivariant Serre polynomial methods developed by E. Ge...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2007 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147227 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | An Additive Basis for the Chow Ring of M₀,₂(Pr,2) / J.A. Cox // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 22 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862684119931027456 |
|---|---|
| author | Cox, J.A. |
| author_facet | Cox, J.A. |
| citation_txt | An Additive Basis for the Chow Ring of M₀,₂(Pr,2) / J.A. Cox // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 22 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We begin a study of the intersection theory of the moduli spaces of degree two stable maps from two-pointed rational curves to arbitrary-dimensional projective space. First we compute the Betti numbers of these spaces using Serre polynomial and equivariant Serre polynomial methods developed by E. Getzler and R. Pandharipande. Then, via the excision sequence, we compute an additive basis for their Chow rings in terms of Chow rings of nonlinear Grassmannians, which have been described by Pandharipande. The ring structure of one of these Chow rings is addressed in a sequel to this paper.
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| first_indexed | 2025-12-07T15:57:24Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147227 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T15:57:24Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Cox, J.A. 2019-02-13T19:31:13Z 2019-02-13T19:31:13Z 2007 An Additive Basis for the Chow Ring of M₀,₂(Pr,2) / J.A. Cox // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 22 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 14C15; 14D22 https://nasplib.isofts.kiev.ua/handle/123456789/147227 We begin a study of the intersection theory of the moduli spaces of degree two stable maps from two-pointed rational curves to arbitrary-dimensional projective space. First we compute the Betti numbers of these spaces using Serre polynomial and equivariant Serre polynomial methods developed by E. Getzler and R. Pandharipande. Then, via the excision sequence, we compute an additive basis for their Chow rings in terms of Chow rings of nonlinear Grassmannians, which have been described by Pandharipande. The ring structure of one of these Chow rings is addressed in a sequel to this paper. The content of this article derives from a part of my doctoral dissertation at Oklahoma State University. I am deeply grateful to my dissertation adviser, Sheldon Katz for financial support, insight, encouragement, and inspiration. William Jaco and Alan Adolphson provided additional funding during work on this project. I appreciate the hospitality of the University of Illinois mathematics department during my years as a visiting graduate student there. I also acknowledge with gratitude the Oklahoma State University mathematics department for extended support during that time. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications An Additive Basis for the Chow Ring of M₀,₂(Pr,2) Article published earlier |
| spellingShingle | An Additive Basis for the Chow Ring of M₀,₂(Pr,2) Cox, J.A. |
| title | An Additive Basis for the Chow Ring of M₀,₂(Pr,2) |
| title_full | An Additive Basis for the Chow Ring of M₀,₂(Pr,2) |
| title_fullStr | An Additive Basis for the Chow Ring of M₀,₂(Pr,2) |
| title_full_unstemmed | An Additive Basis for the Chow Ring of M₀,₂(Pr,2) |
| title_short | An Additive Basis for the Chow Ring of M₀,₂(Pr,2) |
| title_sort | additive basis for the chow ring of m₀,₂(pr,2) |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147227 |
| work_keys_str_mv | AT coxja anadditivebasisforthechowringofm02pr2 AT coxja additivebasisforthechowringofm02pr2 |