Intermediate moduli spaces of stable maps

Andrei Mustaţǎ; Magdalena Anca Mustaţǎ

doi:10.1007/s00222-006-0006-1

Intermediate moduli spaces of stable maps

Andrei Mustaţǎ
, Magdalena Anca Mustaţǎ

University of Illinois at Urbana-Champaign

Research output: Contribution to journal › Article › peer-review

Abstract

We describe the Chow ring with rational coefficients of M̄_0,1(ℙⁿ,d) as the subring of invariants of a ring B^*(M̄_0,1(ℙⁿ,d);ℚ, relative to the action of the group of symmetries S_d. We compute B^*(M̄_0,1(ℙⁿ,d);ℚ by following a sequence of intermediate spaces for (M̄ _0,1(ℙⁿ,d);ℚ.

Original language	English
Pages (from-to)	47-90
Number of pages	44
Journal	Inventiones Mathematicae
Volume	167
Issue number	1
DOIs	https://doi.org/10.1007/s00222-006-0006-1
Publication status	Published - Jan 2007
Externally published	Yes

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AB - We describe the Chow ring with rational coefficients of M̄0,1(ℙn,d) as the subring of invariants of a ring B*(M̄0,1(ℙn,d);ℚ, relative to the action of the group of symmetries Sd. We compute B*(M̄0,1(ℙn,d);ℚ by following a sequence of intermediate spaces for (M̄ 0,1(ℙn,d);ℚ.

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Intermediate moduli spaces of stable maps

Abstract

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