Differential forms on moduli spaces of parabolic bundles
نویسندگان
چکیده
منابع مشابه
Rationality of Moduli Spaces of Parabolic Bundles
The moduli space of parabolic bundles with fixed determinant over a smooth curve of genus greater than one is proved to be rational whenever one of the multiplicities associated to the quasi-parabolic structure is equal to one. It follows that if rank and degree are coprime, the moduli space of vector bundles is stably rational, and the bound obtained on the level is strong enough to conclude r...
متن کاملMODULI SPACES OF PARABOLIC U(p, q)-HIGGS BUNDLES
Using the L-norm of the Higgs field as a Morse function, we count the number of connected components of the moduli space of parabolic U(p, q)-Higgs bundles over a Riemann surface with a finite number of marked points, under certain genericity conditions on the parabolic structure. This space is homeomorphic to the moduli space of representations of the fundamental group of the punctured surface...
متن کاملModuli Spaces of Parabolic Higgs Bundles and Parabolic K(d) Pairs over Smooth Curves: I
This paper concerns the moduli spaces of rank two parabolic Higgs bundles and parabolic K(D) pairs over a smooth curve. Precisely which parabolic bundles occur in stable K(D) pairs and stable Higgs bundles is determined. Using Morse theory, the moduli space of parabolic Higgs bundles is shown to be a noncompact, connected, simply connected manifold, and a computation of its Poincaré polynomial ...
متن کاملOn Some Moduli Spaces of Bundles
We give many examples in which there exist infinitely many divisorial conditions on the moduli space of polarized K3 surfaces (S,H) of degree H = 2g− 2, g ≥ 3, and Picard number ρ(S) = rkN(S) = 2 such that for a general K3 surface S satisfying these conditions the moduli space of sheaves MS(r,H, s) is birationally equivalent to the Hilbert scheme S[g − rs] of zero-dimensional subschemes of S of...
متن کاملVariation of moduli of parabolic Higgs bundles
A moduli problem in algebraic geometry is the problem of constructing a space parametrizing all objects of some kind modulo some equivalence. If the equivalence is anything but equality, one usually has to impose some sort of stability condition on the objects represented. In many cases, however, this stability condition is not canonical, but depends on a parameter, which typically varies in a ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 2010
ISSN: 0035-7596
DOI: 10.1216/rmj-2010-40-6-1779