Abstract For r 3 and g= r (r+1) 2, we study the Prym-Brill-Noether variety Vʳ (C, ) associated to Prym curves C,. The locus Rgʳ in Rg parametrizing Prym curves (C, ) with nonempty Vʳ (C, ) is a divisor. We compute some key coefficients of the class {R}gʳ in Pic ₐ ({R}g). Furthermore, we examine a strongly Brill-Noether divisor in {M}₆-₁, ₂: we show its irreducibility and compute some of its coefficients in Pic ₐ ({M}₆-₁, ₂). As a consequence of our results, the moduli space R₁₄, ₂ is of general type.
Andrei Bud (Thu,) studied this question.