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Chow stability of canonical genus 4 curves

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In this paper, we give sufficient conditions on a canonical genus 4 curve for it to be Chow (semi)stable.

Abstract

In this paper, we give sufficient conditions on a canonical genus 4 curve for it to be Chow (semi)stable.

참고문헌 (16)

  1. F. Catanese, "Embeddings of curves and surfaces", Nagoya Math. J, 154, pp.185~220 (1999)
  2. S. Casalaina-Martin, "The geometry of the ball quotient model of the moduli space of genus four curves, In Compact moduli spaces and vector bundles", pp.107~136 (2012), Amer. Math. Soc.
  3. P. Deligne, "The irreducibility of the space of curves of given genus", Inst. Hautes Etudes Sci. Publ. Math. No, 36, pp.75~109 (1969)
  4. I. Dolgachev, "Lectures on Invariant Theory, In London Mathematical Society Lecture Note Series, 296" (2003), Cambridge University Press
  5. R. Hartshorne, "Algebraic Geometry, In Graduate Texts in Mathematics, No. 52" (1977), Springer- Verlag
  6. B. Hassett, "Local stable reduction of plane curve singularities", J. Reine Angew. Math, 520, pp.169~194 (2000)
  7. B. Hassett, "Log canonical models for the moduli space of curves: the first divisorial contraction", Trans. Amer. Math. Soc, 361(8), pp.4471~4489 (2009)
  8. B. Hassett, "Log minimal program for the moduli space of stable curves: the first flip", Preprint, ~ (2008)
  9. Brendan Hassett, "STABILITY COMPUTATION VIA GR¨OBNER BASIS", 대한수학회지, 47(1), pp.41~62 (2010), 대한수학회
  10. D. Hyeon, "Stability of tri-canonical curves of genus two", Math. Ann, 337(2), pp.479~488 (2007)
  11. D. Hyeon, "Stability of bicanonical curves of genus three", J. Pure Appl. Algebra, 213(10), pp.1991~2000 (2009)
  12. D. Hyeon, "Stability of tails and 4-canonical models", Math. Res. Lett, 17(4), pp.721~729 (2010)
  13. A. Moriwaki, "A sharp slope inequality for general stable fibrations of curves", J. Reine Angew. Math, 480, pp.177~195 (1996)
  14. D. Mumford, "Stability of projective varieties", Enseignement Math, 23(1), pp.39~110 (1977)
  15. D. Mumford, "Geometric Invariant Theory, Second edition, In Ergebnisse der Mathematik und ihrer Grenzgebiete, 34" (1982), Springer-Verlag
  16. D. Schubert, "A new compactification of the moduli space of curves", Compositio Math, 78(3), pp.297~313 (1991)

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