ON SINGULAR PLANE QUARTICS AS LIMITS OF SMOOTH CURVES OF GENUS THREE

  • Published : 2000.05.01

Abstract

We compute lim t 0 Ct in 3 of some family $\pi$:Clongrightarrow$\Delta$ of plane quartics whose general members are nonsingular.

Keywords

References

  1. Topology v.10 Degenerate fibers and stable reduction of curves M. Artin;G. Winters
  2. Lectures on Riemann Surfaces Lectures on stable curves F. Bardelli
  3. Ann. Math v.132 Chow rings of moduli spaces of curves I: The Chow ring of $\bar[m_3]$ C. Faber
  4. Principles of algebraic geometry P. Griffith;J. Harris
  5. Proc. Sympos. Pure Math. 46 Curves and their moduli J. Harris
  6. Moduli of curves J. Harris;I. Morrison
  7. J. Reine und Angew. Math. Local stable reduction of plane curve singularities B. Hassett
  8. Manuscripta Math. Stable log surfaces and limits of quartic plane surves B. Hassett
  9. Algebraic Geometry S. Iitaka
  10. Comm. Korean Math. Soc. v.9 Stable reductions of singular plane quartics P. Kang
  11. Toroidal embeddings v.339 G. Kempf;D. Mumford;B. Saint Donat
  12. Geometriae Dedicata v.56 Explicit complete curves in the moduli space of curves of genus three C. Zaal