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Combinatorial Results

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

Abstract

The aim of this chapter is to collect all the combinatorial results that will be used in the sequel.

Keywords

  • Combinatorial Results
  • Multidegree
  • Exceptional Component
  • Basic Inequality
  • Nodal Curves

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Notes

  1. 1.

    Actually, the reader can easily check that all the results of this section are valid more in general if X is a G-quasistable curve of genus g ≥ 2 (in the sense of Definition 17.1) with locally planar singularities.

References

  1. G. Bini, C. Fontanari, F. Viviani, On the birational geometry of the universal Picard variety. Int. Math. Res. Not. 2012(4), 740–780 (2012)

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  2. L. Caporaso, A compactification of the universal Picard variety over the moduli space of stable curves. J. Am. Math. Soc. 7, 589–660 (1994)

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  3. M. Melo, F. Viviani, Fine compactified Jacobians. Math. Nach. 285(8–9), 997–1031 (2012)

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© 2014 Springer International Publishing Switzerland

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Bini, G., Felici, F., Melo, M., Viviani, F. (2014). Combinatorial Results. 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_3

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