منابع مشابه
On Degenerations of Moduli of Hitchin Pairs
The purpose of this note is to announce certain basic results on the construction of a degeneration of M H Xk(n, d) as the smooth curve Xk degenerates to an irreducible nodal curve with a single node. Let Xk be a smooth projective curve of genus g ≥ 2 over an algebraically closed field k of characteristic zero and let L be a line bundle on Xk. A Hitchin pair (E, θ) is comprised of a torsion-fre...
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Consider degenerations of Abelian differentials with prescribed number and multiplicity of zeros and poles. Motivated by the theory of limit linear series, we define twisted canonical divisors on pointed nodal curves to study degenerate differentials, give dimension bounds for their moduli spaces, and establish smoothability criteria. As applications, we show that the spin parity of holomorphic...
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ژورنال
عنوان ژورنال: Communications in Algebra
سال: 2013
ISSN: 0092-7872,1532-4125
DOI: 10.1080/00927872.2012.658589