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A Compactification of H′ enon Mappings in C2 as Dynamical Systems
H′ enon Mappings C2 as Dynamical Systems
2015/8/26
A Compactification of H′ enon Mappings in C2 as Dynamical Systems.
AN ANALYTIC CONSTRUCTION OF THE DELIGNE-MUMFORD COMPACTIFICATION OF THE MODULI SPACE OF CURVES
ANALYTIC CONSTRUCTION DELIGNE-MUMFORD COMPACTIFICATION MODULI SPACE OF CURVES
2015/8/26
In 1969, P. Deligne and D. Mumford compactified the modulispace of curves Mg,n. Their compactification Mg,n is a projective algebraic variety, and as such, it has an underlying analytic structure. Alt...
Admissible Covers and the ELSV Compactification
Admissible Covers the ELSV Compactification Algebraic Geometry
2012/6/30
We revisit Ekedahl, Lando, Shapiro and Vainshtein's compactification of the stack of Hurwitz covers. By drawing a connection with the Harris and Mumford stack of admissible covers we give a new geomet...
Generalized Riesz Products on the Bohr compactification of $\R$
Generalized Riesz products almost periodic functions Bohr compactification mean value Besicovitch space Kac Central Limit Theorem Kakutani criterion
2012/6/19
We study a class of generalized Riesz products connected to the spectral type of some class of rank one flows on $\R$. Applying a Central Limit Theorem of Kac, we exhibit a large class of singular gen...
The horofunction compactification of Teichmüller metric
Teichm¨uller space Teichm¨uller metric compactification
2011/1/17
We show that the horofunction compactification of the Teichm¨uller space with the Teichm¨uller metric is homeomorphic to the Gardiner-Masur compactification.
Uhlenbeck-Donaldson compactification for framed sheaves on projective surfaces
Framed sheaves moduli spaces Uhlenbeck-Donaldson compactification
2010/11/30
We construct a compactification Mμss of the Uhlenbeck-Donaldson type for the moduli space of slope stable framed bundles. This is a kind of a moduli space of slope semistable framed sheaves.
We prove the Nagata compactication theorem for any separated map of nite type between
quasi-compact and quasi-separated algebraic spaces, generalizing earlier results of Raoult. Along the way
we a...
Near Ultrafilters and Luc-Compactification of Real Numbers
Near Ultrafilters Luc-Compactification Real Numbers
2010/3/5
In this work we will investigate some of the topological properties of the Luc compactification of real numbers R in terms of the concept of near ultrafilters.
Near Ultrafilters and Compactification of Topological Groups
Near Ultrafilters Topological Groups
2010/3/5
In this work we wiII construct LUC-compactification of a topological group in terms of the new concept of near ultrafilters.