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An Additive Basis for the Chow Ring of M₀,₂(Pr,2)
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3
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An Additive Basis for the Chow Ring of M₀,₂(Pr,2)
Інший ID:
2000 Mathematics Subject Classification: 14C15; 14D22
Посилання:
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.
Підтримка:
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.
Дата:
2007
Переглядів:
572
Завантажень:
260
Анотація:
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.
