Zhengning Hu

Interests

No activities entered.

Courses

Scholarly Contributions

Journals/Publications

• Edidin, D., & Hu, Z. (2025).

  The integral Chow rings of the stacks of hyperelliptic Weierstrass points

  . Michigan Mathematical Journal. doi:https://doi.org/10.1307/mmj/20236479
  More info

  We compute the integral Chow rings of the stacks ${\mathcal H}_{g,n}^w$ parametrizing hyperelliptic curves with $n$ marked Weierstrass points. We prove that the integral Chow rings of each of these stacks is generated as an algebra by any of the $\Psi$-classes and that all relations live in degree one. [Journal_ref: ]
• 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.
  More info

  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
  More info

  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
  More info

  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).