Tensor product theorem for Hitchin pairs – An algebraic approach
نویسندگان
چکیده
منابع مشابه
Projective Moduli for Hitchin Pairs
In the paper [2], Hitchin studied pairs (E,φ), where E is a vector bundle of rank two with a fixed determinant on a curve C and φ : E −→ E ⊗ KC is a trace free homomorphism, and constructed a moduli space for them. This moduli space carries the structure of a non-complete, quasi-projective algebraic variety. Later, Nitsure [5] gave an algebraic construction of moduli spaces of pairs (E,φ) over ...
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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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ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 2011
ISSN: 0373-0956,1777-5310
DOI: 10.5802/aif.2677