The fourth tautological group of M ¯ g , n and relations with the cohomology

Marzia Polito

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (2003)

  • Volume: 14, Issue: 2, page 137-168
  • ISSN: 1120-6330

Abstract

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We give a complete description of the fourth tautological group of the moduli space of pointed stable curves, M ¯ g , n , and prove that for g ≥ 8 it coincides with the cohomology group with rational coefficients. We further give a conjectural upper bound depending on the genus for the degree of new tautological relations.

How to cite

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Polito, Marzia. "The fourth tautological group of $\overline{\mathfrak{M}}_{g,n}$ and relations with the cohomology." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 14.2 (2003): 137-168. <http://eudml.org/doc/252316>.

@article{Polito2003,
abstract = {We give a complete description of the fourth tautological group of the moduli space of pointed stable curves, $\overline\{\mathfrak\{M\}\}_\{g,n\}$, and prove that for $g \ge 8$ it coincides with the cohomology group with rational coefficients. We further give a conjectural upper bound depending on the genus for the degree of new tautological relations.},
author = {Polito, Marzia},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Algebraic geometry; Algebraic curves; Moduli spaces; Cohomology; Cohomplogy},
language = {eng},
month = {6},
number = {2},
pages = {137-168},
publisher = {Accademia Nazionale dei Lincei},
title = {The fourth tautological group of $\overline\{\mathfrak\{M\}\}_\{g,n\}$ and relations with the cohomology},
url = {http://eudml.org/doc/252316},
volume = {14},
year = {2003},
}

TY - JOUR
AU - Polito, Marzia
TI - The fourth tautological group of $\overline{\mathfrak{M}}_{g,n}$ and relations with the cohomology
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 2003/6//
PB - Accademia Nazionale dei Lincei
VL - 14
IS - 2
SP - 137
EP - 168
AB - We give a complete description of the fourth tautological group of the moduli space of pointed stable curves, $\overline{\mathfrak{M}}_{g,n}$, and prove that for $g \ge 8$ it coincides with the cohomology group with rational coefficients. We further give a conjectural upper bound depending on the genus for the degree of new tautological relations.
LA - eng
KW - Algebraic geometry; Algebraic curves; Moduli spaces; Cohomology; Cohomplogy
UR - http://eudml.org/doc/252316
ER -

References

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