The dimension of the Chow variety of curves
The search session has expired. Please query the service again.
David Eisenbud, Joe Harris (1992)
Compositio Mathematica
Montserrat Teixidor i Bigas (1988)
Compositio Mathematica
Bernd Ulrich (1982)
Manuscripta mathematica
D. Zagier, J. Harer (1986)
Inventiones mathematicae
Alessandro Verra (1986)
Mathematische Annalen
Marzia Polito (2003)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
We give a complete description of the fourth tautological group of the moduli space of pointed stable curves, , and prove that for 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.
Gonzalo Riera (1984)
Compositio Mathematica
Knud Lonsted (1976)
Mathematische Annalen
D. Eisenbud, J. Harris (1987)
Inventiones mathematicae
Bronislaw Wajnryb (1977)
Mathematische Annalen
Biswas, Indranil, Hoffmann, Norbert (2010)
Documenta Mathematica
E. Ballico, Ph. Ellia (1985)
Inventiones mathematicae
Naoki Murabayashi (1994)
Manuscripta mathematica
McMullen, Curtis T. (2000)
Annals of Mathematics. Second Series
S. Ramanan (1973)
Mathematische Annalen
D. Eisenbud, J. Harris (1987)
Inventiones mathematicae
Geoffrey Powell (2004/2005)
Séminaire Bourbaki
The Mumford Conjecture asserts that the rational cohomology of the stable moduli space of Riemann surfaces is a polynomial algebra on the Mumford-Morita-Miller characteristic classes; this can be reformulated in terms of the classifying space derived from the mapping class groups. The conjecture admits a topological generalization, inspired by Tillmann’s theorem that admits an infinite loop space structure after applying Quillen’s plus construction. The text presents the proof by Madsen and...
Rachel Pries, Hui June Zhu (2012)
Annales de l’institut Fourier
We study a moduli space for Artin-Schreier curves of genus over an algebraically closed field of characteristic . We study the stratification of by -rank into strata of Artin-Schreier curves of genus with -rank exactly . We enumerate the irreducible components of and find their dimensions. As an application, when , we prove that every irreducible component of the moduli space of hyperelliptic -curves with genus and -rank has dimension . We also determine all pairs for...
Jarvis, Tyler J. (2001)
The New York Journal of Mathematics [electronic only]
David Mumford, Finn Knudsen (1976)
Mathematica Scandinavica