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Tautological classes on the moduli space of hyperelliptic curves with rational tails
- Source :
- Journal of Pure and Applied Algebra
- Publication Year :
- 2018
- Publisher :
- Elsevier BV, 2018.
-
Abstract
- We study tautological classes on the moduli space of stable $n$-pointed hyperelliptic curves of genus $g$ with rational tails. Our result gives a complete description of tautological relations. The method is based on the approach of Yin in comparing tautological classes on the moduli of curves and the universal Jacobian. It is proven that all relations come from the Jacobian side. The intersection pairings are shown to be perfect in all degrees. We show that the tautological algebra coincides with its image in cohomology via the cycle class map. The latter is identified with monodromy invariant classes in cohomology. The connection with recent conjectures by Pixton is also discussed.<br />Comment: 38 pages, 1 figure
- Subjects :
- Pure mathematics
14C17, 14D22
Algebra and Number Theory
010102 general mathematics
01 natural sciences
Cohomology
Moduli space
Moduli
Mathematics - Algebraic Geometry
symbols.namesake
Mathematics::Algebraic Geometry
Monodromy
0103 physical sciences
Jacobian matrix and determinant
FOS: Mathematics
symbols
010307 mathematical physics
0101 mathematics
Invariant (mathematics)
Algebraic Geometry (math.AG)
Mathematics
Subjects
Details
- ISSN :
- 00224049
- Volume :
- 222
- Database :
- OpenAIRE
- Journal :
- Journal of Pure and Applied Algebra
- Accession number :
- edsair.doi.dedup.....a140c1290e6ac605613a7afeabf6550f