Compactification for essentially finite-type maps
نویسندگان
چکیده
منابع مشابه
Compactification for Essentially Finite-type Maps
We show that any separated essentially finite-type map f of noetherian schemes globally factors as f = hi where i is an injective localization map and h a separated finite-type map. In particular, via Nagata’s compactification theorem, h can be chosen to be proper. We apply these results to Grothendieck duality. We also obtain other factorization results and provide essentialized versions of ma...
متن کاملA resolution of singularities for Drinfeld’s compactification by stable maps
Drinfeld’s relative compactification plays a basic role in the theory of automorphic sheaves, and its singularities encode representation-theoretic information in the form of intersection cohomology. We introduce a resolution of singularities consisting of stable maps from nodal deformations of the curve into twisted flag varieties. As an application, we prove that the twisted intersection coho...
متن کاملPropagation of Analyticity for Essentially Finite C-smooth Cr Mappings
An analytico-geometric reflection principle is established by means of normal deformations of analytic discs. Table of contents
متن کاملHarmonic Maps to R-trees and Morgan-shalen Compactification
(1) In Section 2, we define the notion of harmonic maps and quadratic differentials. Then we give a harmonic map proof of Teichmuller’s theorem by Wolf. (See [2], [9]) (2) In Section 3, we explain a compactification of Teichmuller spaces by Wolf using harmonic maps. (See [2], [4], [10], [11]) (3) In Section 4, we review the Morgan-Shalen compactification and the Korevaar-Schoen limit. Then we g...
متن کاملTwistor fibrations giving primitive harmonic maps of finite type
Primitive harmonic maps of finite type from a Riemann surface M into a k-symmetric space G/H are obtained by integrating a pair of commuting Hamiltonian vector fields on certain finite-dimensional subspaces of loop algebras. We will clarify and generalize Ohnita and Udagawa’s results concerning homogeneous projections p : G/H →G/K , with H ⊂ K , preserving finite-type property for primitive har...
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: Advances in Mathematics
سال: 2009
ISSN: 0001-8708
DOI: 10.1016/j.aim.2009.05.002