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Behavior at the Extremes of the Basic Inequality

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2122)

Abstract

Recall from Corollary 5.6(i) that if \([X \subset \mathbb{P}^{r}] \in \mathrm{Hilb}_{d}\) is Chow semistable with X connected and d > 2(2g − 2), then X is quasi-wp-stable and \(\mathcal{O}_{X}(1)\) is properly balanced.

Keywords

  • Line Bundle
  • Algebraic Geometry
  • Order Relation
  • Local Ring
  • Complete Intersection

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Bini, G., Felici, F., Melo, M., Viviani, F. (2014). Behavior at the Extremes of the Basic Inequality. In: Geometric Invariant Theory for Polarized Curves. Lecture Notes in Mathematics, vol 2122. Springer, Cham. https://doi.org/10.1007/978-3-319-11337-1_7

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