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
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Corrections of Printing to: Correspondences for Hecke Rings and (Co-)Homology Groups on Smooth Compactifications of Siegel Modular Varieties (Tokyo Journal of Mathematics, Vol. 13, No. 1 (1990), pp. 37-62) [PDF]
Tokyo Journal of Mathematics, 1990 Kazuyuki HATADA
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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 +9 more
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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 +14 more
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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.
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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
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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.
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The zero section of the universal semiabelian variety, and the double ramification cycle [PDF]
, 2013 We study the Chow ring of the boundary of the partial compactification of the universal family of principally polarized abelian varieties (ppav). We describe the subring generated by divisor classes, and compute the class of the partial compactification ...
Grushevsky, Samuel, Zakharov, Dmitry
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AN EAST ASIAN MATHEMATICAL CONCEPTUALIZATION OF THE TRANSHUMAN
Zygon, 2016 This study explores the transhuman from an East Asian perspective. In terms of cognitive science, mathematics, and theology, we define the transhuman system as characterized by (1) transcendence, (2) extension by compactification, and (3) samtaegeuk ...
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BPS States, String Duality, and Nodal Curves on K3 [PDF]
, 1995 We describe the counting of BPS states of Type II strings on K3 by relating the supersymmetric cycles of genus $g$ to the number of rational curves with $g$ double points on K3.
Bershadsky +19 more
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