On the moduli space $M(0, 4)$ of vector bundles
نویسندگان
چکیده
منابع مشابه
Equivariant vector bundles on the Lubin - Tate moduli space
We discuss the first author's Picard groups of stable homo-topy. We give s. detailed description of the calculation of PiC!, and go onto describe geometric constructions for lifts of the elements of Pic!. Wealso construct a 15 cell complex that localizeil to what we speculate is aninteresting element ofPk2 •For all n we describe an algebraic approxllna-tion to Picn u...
متن کاملModuli of Toric Vector Bundles
We give a presentation of the moduli stack of toric vector bundles with fixed equivariant total Chern class as a quotient of a fine moduli scheme of framed bundles by a linear group action. This fine moduli scheme is described explicitly as a locally closed subscheme of a product of partial flag varieties cut out by combinatorially specified rank conditions. We use this description to show that...
متن کاملMumford-thaddeus Principle on the Moduli Space of Vector Bundles on an Algebraic Surface
The purpose of this paper is to study what we call the “Mumford-Thaddeus principle” which states that Geometric Invariant Theory (henceforth, “GIT”) quotients undergo specific transformations (birational and similar to Mori’s flip under some mild conditions) when the polarization (i.e. the linearized ample line bundle) is varied (cf.[MFK94], [Thaddeus93,94], and [Dolgachev-Hu93]). The case we c...
متن کاملOn the Rational Homotopy Type of a Moduli Space of Vector Bundles over a Curve
We study the rational homotopy of the moduli space NX of stable vector bundles of rank two and fixed determinant of odd degree over a compact connected Riemann surface X of genus g ≥ 2. The symplectic group Aut(H1(X,Z)) ∼= Sp(2g,Z) has a natural action on the rational homotopy groups πn(NX)⊗ZQ. We prove that this action extends to an action of Sp(2g,C) on πn(NX)⊗ZC. We also show that πn(NX)⊗ZC ...
متن کاملSome Index Formulæ on the Moduli Space of Stable Parabolic Vector Bundles
We study natural families of ∂-operators on the moduli space of stable parabolic vector bundles. Applying a families index theorem for hyperbolic cusp operators from our previous work, we find formulæ for the Chern characters of the associated index bundles. The contributions from the cusps are explicitly expressed in terms of the Chern characters of natural vector bundles related to the parabo...
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: Kyoto Journal of Mathematics
سال: 1987
ISSN: 2156-2261
DOI: 10.1215/kjm/1250520608