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Type: Article
A stratification of B4(2,KC) over a general curve
Abstract:
LetCbe a smooth curve of genusg?10 with general moduli. We show that the Brill–Noether locusB4(2,KC)contains irreducible subvarietiesB3?B4? ··· ?Bn,where eachBkhas dimension 3g?10?kandB3is an irreducible component of theexpected dimension the Brill–Noether number?=3g?13.
LetCbe a smooth curve of genusg?10 with general moduli. We show that the Brill–Noether locusB4(2,KC)contains irreducible subvarietiesB3?B4? ··· ?Bn,where eachBkhas dimension 3g?10?kandB3is an irreducible component of theexpected dimension the Brill–Noether number?=3g?13.
Keywords: Vector bundles; Brill–Noether loci; Moduli of curves
MSC: 14C20; 14H60; 14J26
Journal: Boletín de la Sociedad Matemática Mexicana
ISSN: 2296-4495
Year: 2020
Volume: 26
Number: 1
Pages: 27-36
Created: 2020-02-26 17:52:27
Modified: 2020-07-01 12:27:32
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