On the moduli space of pointed algebraic curves of low genus. II. Rationality

DOI10.3836/tjm/1219844828zbMath1145.14025OpenAlexW2052064250MaRDI QIDQ946989

Tetsuo Nakano

Publication date: 29 September 2008

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1219844828

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Riemann surfaces; Weierstrass points; gap sequences (14H55) Rationality questions in algebraic geometry (14E08)

Related Items (4)

The dimension of the moduli space of pointed algebraic curves of low genus ⋮ Weierstrass cycles and tautological rings in various moduli spaces of algebraic curves ⋮ Irreducibility and stable rationality of the loci of curves of genus at most six with a marked Weierstrass point ⋮ On nonprimitive Weierstrass points

Uses Software

• SINGULAR
• primdec
• deform

Cites Work

• The moduli of curves is stably rational for g\(\leq 6\)
• On the existence of Weierstrass gap sequences on curves of genus \(\leq 8\)
• On the moduli space of pointed algebraic curves of low genus: a computational approach
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