Zhengning Hu

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• Edidin, D., & Hu, Z. (2022). Chow classes of divisors on stacks of pointed hyperelliptic curves. Annali della Scuola Normale Superiore di Pisa, Classe di Scienze.
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  We calculate the classes of the universal hyperelliptic Weierstrass divisor $\bar{{\mathcal H}}_{g,w}$ and the universal $g^1_2$ divisor $\bar{{\mathcal H}}_{g,g^1_2}$. Our results are expressed in terms of a basis for $Cl(\bar{{\mathcal H}}_{g,1})$ and $Cl(\bar{{\mathcal H}}_{g,2})$ computed by Scavia. [Journal_ref: ]
• Edidin, D., & Hu, Z. (2024). Chow classes of divisors on stacks of pointed hyperelliptic curves. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, 25(1). doi:10.2422/2036-2145.202204_001
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  We calculate the Chow classes of the universal hyperelliptic Weierstrass divisor [Formula presented] and the universal [Formula presented] divisor [Formula presented]. Our results are expressed in terms of a basis for [Formula presented] and [Formula presented] computed by Scavia [16].
• Edidin, D., & Hu, Z. (2024). The K-theory of the moduli stacks M2 and M¯2. Manuscripta Mathematica, 175(3-4). doi:10.1007/s00229-024-01581-z
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  We compute the integral Grothendieck rings of the moduli stacks, M2, M¯2 of smooth and stable curves of genus two respectively. We compute K0(M2) by using the presentation of M2 as a global quotient stack given by Vistoli (Invent Math 131(3):635–644, 1998). To compute the Grothendieck ring K0(M¯2) we decompose M¯2 as Δ1 and its complement M¯2\Δ1 and use their presentations as quotient stacks given by Larson (Algebr Geom 8 (3):286–318, 2021) to compute the Grothendieck rings. We show that they are torsion-free and this, together with the Riemann–Roch isomorphism allows us to ultimately give a presentation for the integral Grothendieck ring K0(M¯2).