A pointed Prym–Petri Theorem
نویسندگان
چکیده
We construct pointed Prym–Brill–Noether varieties parametrizing line bundles assigned to an irreducible étale double covering of a curve with prescribed minimal vanishing at fixed point. realize them as degeneracy loci in type D and deduce their classes case expected dimension. Thus, we determine Prym–Petri map prove version the theorem implying that dimension holds general case. These results build on work Welters [Ann. Sci. Ëcole Norm. Sup. (4) 18 (1985), pp. 671–683] De Concini–Pragacz [Math. Ann. 302 (1995), 687–697] unpointed Finally, show Prym are Prym–Tyurin for curves exponent enumerating standard shifted tableaux times factor 2 2 , extending setting Ortega 356 (2013), 809–817].
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2023
ISSN: ['2330-0000']
DOI: https://doi.org/10.1090/tran/8792