Results 1 to 10 of about 28,988 (110)

A closer look at semistability for singular principal bundles [PDF]

, 2004
We substantially refine the theory of singular principal bundles introduced in a former paper. In particular, we show that we need only honest singular principal bundles in our compactification.
Schmitt, Alexander H. W.
core   +1 more source

Central sets and substitutive dynamical systems [PDF]

, 2013
In this paper we establish a new connection between central sets and the strong coincidence conjecture for fixed points of irreducible primitive substitutions of Pisot type.
Luca, Marcy Barge, Q. Zamboni
core   +3 more sources

A Compactification of ₃ via K3 Surfaces [PDF]

Nagoya Mathematical Journal, 2009
S. Kondō defined a birational period map between the moduli space of genus three curves and a moduli space of polarized K3 surfaces. In this paper we give a resolution of the period map, providing a surjective morphism from a suitable compactification of 3 to the Baily-Borel compactification of a six dimensional ball quotient.
openaire   +6 more sources

Symmetric spaces of higher rank do not admit differentiable compactifications [PDF]

, 2009
Any nonpositively curved symmetric space admits a topological compactification, namely the Hadamard compactification. For rank one spaces, this topological compactification can be endowed with a differentiable structure such that the action of the ...
A. Borel, A.W. Knapp, B. Kloeckner, Benoît Kloeckner, K.S. Brown, P.B. Eberlein, S. Bochner, S. Helgason, W. Ballmann, Y. Guivarc’h   +9 more
core   +3 more sources

The maximum likelihood degree of a very affine variety [PDF]

, 2012
We show that the maximum likelihood degree of a smooth very affine variety is equal to the signed topological Euler characteristic. This generalizes Orlik and Terao's solution to Varchenko's conjecture on complements of hyperplane arrangements to smooth ...
Aluffi, Aluffi, Aluffi, Damon, Dolgachev, Einsiedler, Fulton, Hovanskiĭ, Jouanolou, June Huh, Kwieciński, Saito, Samuel, Varchenko, Welsh   +14 more
core   +1 more source

Robert MacPherson and arithmetic groups [PDF]

, 2006
We survey contributions of Robert MacPherson to the theory of arithmetic groups. There are two main areas we discuss: (i) explicit reduction theory for Siegel modular threefolds, and (ii) constructions of compactifications of locally symmetric spaces ...
Gunnells, Paul E.
core   +3 more sources

Mathematical Aspects of String Compactifications

, 2018
Cortes, Vicente "Mathematical Aspects of String Compactifications" in Particles, Strings and the Early Universe : The Structure of Matter and Space-Time / Haller, Johannes, Grefe, Michael (eds.), Verlag Deutsches Elektronen-Synchrotron : 2018; Hamburg : Verlag Deutsches Elektronen-Synchrotron 57-68 (2018).
Cortes, Vicente, Louis, Jan
openaire   +2 more sources

On the canonical divisor of smooth toroidal compactifications

, 2017
In this paper, we show that the canonical divisor of a smooth toroidal compactification of a complex hyperbolic manifold must be nef if the dimension is greater or equal to three.
Di Cerbo, G., Di Cerbo, L.
core   +2 more sources

On the transformation semitopological semigroup

, 2007
In this paper we introduce the notion of weighted (weakly) almost periodic compactifcation of a semitopological semigroup and generalize this notion to corresponding notion for transformation semigroup.The inclusion relation and equality of some well ...
Abolghasemi, M., Rejali, A., Vishki, H. R. E.   +2 more
core   +1 more source

The fundamental group of reductive Borel-Serre and Satake compactifications

, 2015
Let $G$ be an almost simple, simply connected algebraic group defined over a number field $k$, and let $S$ be a finite set of places of $k$ including all infinite places. Let $X$ be the product over $v\in S$ of the symmetric spaces associated to $G(k_v)$,
Ji, Lizhen, Murty, V. Kumar, Saper, Leslie, Scherk, John   +3 more
core   +1 more source