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Semistable, Polystable and Stable Points (Part II)

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Book cover Geometric Invariant Theory for Polarized Curves

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

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Abstract

The aim of this chapter is to describe the points of Hilb d that are Hilbert or Chow semistable, polystable and stable for

$$\displaystyle{\frac{7} {2}(2g - 2) < d \leq 4(2g - 2)\quad \text{ and }\quad g \geq 3.}$$

The GIT analysis in this range is based on a nice numerical trick that uses the following

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Authors and Affiliations

  1. Dipartimento di Matematica “F. Enriques”, Università degli Studi di Milano, Milano, Italy

    Gilberto Bini

  2. Dipartimento di Matematica e Fisica, Università degli Studi di Roma Tre, Rome, Italy

    Fabio Felici & Filippo Viviani

  3. Departamento de Matemática, Universidade de Coimbra, Coimbra, Portugal

    Margarida Melo

Authors
  1. Gilberto Bini
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  2. Fabio Felici
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  3. Margarida Melo
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  4. Filippo Viviani
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© 2014 Springer International Publishing Switzerland

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Bini, G., Felici, F., Melo, M., Viviani, F. (2014). Semistable, Polystable and Stable Points (Part II). 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_13

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