Moduli Space of Quasi-Maps from P^{1} with Two Marked Points to P(1,1,1,3) and j-invariant
| Autor: | Jinzenji, Masao, Saito, Hayato |
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| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | J. Math. Soc. Japan 73 (2021), no. 4 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.2969/jmsj/83148314 |
| Popis: | In this paper, we construct toric data of moduli space of quasi maps of degree $d$ from P^{1} with two marked points to weighted projective space P(1.1,1,3). With this result, we prove that the moduli space is a compact toric orbifold. We also determine its Chow ring. Moreover, we give a proof of the conjecture proposed by Jinzenji that a series of intersection numbers of the moduli spaces coincides with expansion coefficients of inverse function of -log(j(tau)). Comment: 22 pages, minor errors are corrected, references are added, some comments are added in Introduction |
| Databáze: | arXiv |
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