Vanishing Abelian integrals on zero-dimensional cycles
نویسندگان
چکیده
منابع مشابه
On Non-abelian Lubin-tate Theory via Vanishing Cycles
We give a purely local proof, in the depth 0 case, of the result by HarrisTaylor which asserts that the local Langlands correspondence for GLn is realized in the vanishing cycle cohomology of the deformation spaces of one-dimensional formal modules of height n. Our proof is given by establishing the direct geometric link with the Deligne-Lusztig theory for GLn(Fq).
متن کاملZero - dimensional Schemes on Abelian Surfaces
The moduli spaces of semistable torsion-free sheaves with c 1 = 0 and c 2 = ?2 and ?3 over a principally polarised complex torus are described explicitly in terms of zero-dimensional subschemes of the torus. The boundary structures are computed in detail. The rst moduli space is a compactiied family of Jacobians and the second is a Hilbert scheme. In this paper we shall show how detailed inform...
متن کاملVanishing Vanishing Cycles
If A• is a bounded, constructible complex of sheaves on a complex analytic space X, and f : X → C and g : X → C are complex analytic functions, then the iterated vanishing cycles φg[−1](φf [−1]A •) are important for a number of reasons. We give a formula for the stalk cohomology H∗(φg[−1]φf [−1]A •)x in terms of relative polar curves, algebra, and the normal Morse data and micro-support of A•.
متن کاملZero modes of six-dimensional Abelian vortices
We analyze the fluctuations of Nielsen-Olesen vortices arising in the sixdimensional Abelian-Higgs model. The regular geometry generated by the defect breaks spontaneously six-dimensional Poincaré symmetry leading to a warped space-time with finite four-dimensional Planck mass. As a consequence, the zero mode of the spin two fluctuations of the geometry is always localized but the graviphoton f...
متن کاملALGEBRAIC Zd-ACTIONS ON ZERO-DIMENSIONAL COMPACT ABELIAN GROUPS
In 1967 Furstenberg proved that every infinite closed subset of T = R/Z simultaneously invariant under multiplication by 2 and by 3 is equal to T (cf. [8]), which motivated the still unresolved question whether this scarcity of invariant sets is paralleled by a corresponding scarcity of invariant probability measures: is Lebesgue measure the only nonatomic probability measure on T which is inva...
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: Proceedings of the London Mathematical Society
سال: 2013
ISSN: 0024-6115
DOI: 10.1112/plms/pdt012