Betti numbers of Brill–Noether varieties on a general curve

  • Camilla Felisetti

    Università di Trento, Italy
  • Claudio Fontanari

    Università di Trento, Italy
Betti numbers of Brill–Noether varieties on a general curve cover

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Abstract

We compute the rational cohomology groups of the smooth Brill–Noether varieties , parametrizing linear series of degree and dimension exactly on a general curve . As an application, we determine the whole intersection cohomology of the singular Brill–Noether loci , parametrizing complete linear series on of degree and dimension at least .

Cite this article

Camilla Felisetti, Claudio Fontanari, Betti numbers of Brill–Noether varieties on a general curve. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 33 (2022), no. 1, pp. 65–72

DOI 10.4171/RLM/964