Weierstrass cycles and tautological rings in various moduli spaces of algebraic curves

2013/08/29 by Jia-Ming Liou, Albert Schwarz, Liou, Jia-Ming +3
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics #math.AG #math.AT

paper · pdf · doi:10.48550/arxiv.1308.6374

arXiv admin note: substantial text overlap with arXiv:1207.0530

arxiv created 2015/03/08 · arxiv updated 2015/03/10

Abstract

We analyze Weierstrass cycles and tautological rings in moduli space of smooth algebraic curves and in moduli spaces of integral algebraic curves with embedded disks with special attention to moduli spaces of curves having genus ≤ 6. In particular, we show that our general formula gives a good estimate for the dimension of Weierstrass cycles for lower genera.

Citations

• Weierstrass cycles in moduli spaces and the Krichever map

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