The Chow ring of M̄0,m(ℙn, d)

Anca M. Mustaţǎ; Andrei Mustaţǎ

doi:10.1515/CRELLE.2008.011

The Chow ring of M̄_0,m(ℙⁿ, d)

University of Illinois at Urbana-Champaign

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

Abstract

We describe the Chow ring with rational coefficients of the moduli space of stable maps with marked points _0,m(ⁿ, d) as the subring of invariants of a ring B(_0,m(ⁿ, d); ), relative to the action of the group of symmetries S_d. B(_0,m(ⁿ, d); ) is computed by following a sequence of intermediate spaces for _0,m(ⁿ, d) and relating them to substrata of _0,1(ⁿ, d + m - 1). An additive basis for A( _0,m(ⁿ, d); ) is given.

Original language	English
Pages (from-to)	93-119
Number of pages	27
Journal	Journal fur die Reine und Angewandte Mathematik
Issue number	615
DOIs	https://doi.org/10.1515/CRELLE.2008.011
Publication status	Published - 1 Feb 2008
Externally published	Yes

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abstract = "We describe the Chow ring with rational coefficients of the moduli space of stable maps with marked points 0,m(n, d) as the subring of invariants of a ring B(0,m(n, d); ), relative to the action of the group of symmetries Sd. B(0,m(n, d); ) is computed by following a sequence of intermediate spaces for 0,m(n, d) and relating them to substrata of 0,1(n, d + m - 1). An additive basis for A( 0,m(n, d); ) is given.",

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AU - Mustaţǎ, Andrei

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N2 - We describe the Chow ring with rational coefficients of the moduli space of stable maps with marked points 0,m(n, d) as the subring of invariants of a ring B(0,m(n, d); ), relative to the action of the group of symmetries Sd. B(0,m(n, d); ) is computed by following a sequence of intermediate spaces for 0,m(n, d) and relating them to substrata of 0,1(n, d + m - 1). An additive basis for A( 0,m(n, d); ) is given.

AB - We describe the Chow ring with rational coefficients of the moduli space of stable maps with marked points 0,m(n, d) as the subring of invariants of a ring B(0,m(n, d); ), relative to the action of the group of symmetries Sd. B(0,m(n, d); ) is computed by following a sequence of intermediate spaces for 0,m(n, d) and relating them to substrata of 0,1(n, d + m - 1). An additive basis for A( 0,m(n, d); ) is given.

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DO - 10.1515/CRELLE.2008.011

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JF - Journal fur die Reine und Angewandte Mathematik

IS - 615

ER -

The Chow ring of M̄_0,m(ℙⁿ, d)

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