Transcendental Brauer groups of products of CM elliptic curves
January 19, 2015
Mathematics
Number Theory
Let L be a number field and let E/L be an elliptic curve with complex
multiplication by the ring of integers OK of an imaginary
quadratic field K. We use class field theory and results of Skorobogatov and
Zarhin to comput...
Big quantum cohomology of Fano complete intersections
January 15, 2015
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Mathematics
Algebraic Geometry
Algebraic Geometry
For smooth complete intersections in the projective spaces, we use the
deformation invariance of Gromov-Witten invariants and results in classical
invariant theory to study the symmetric reduction of the WDVV equation by the
monodromy group...
A new derivation of the Minkowski metric
January 15, 2015
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Physics
General Physics
General Relativity and Quantum Cosmology
The four dimensional spacetime continuum, as first conceived by Minkowski,
has become the dominant framework within which to describe physical laws. In
this paper, we show how this four-dimensional structure is a natural property
of physica...
Characterization of graphs without even F-orientations
January 11, 2015
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Mathematics
Combinatorics
A graph G is 1-extendible if every edge belongs to at least one
1-factor of G. Let G be a graph with a 1-factor F. Then an even
F-orientation of G is an orientation in which each F-alternating cycle
has exactly an even n...
The third virial coefficient of a two-component unitary Fermi gas across
an Efimov-effect threshold
December 5, 2014
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Physics
Quantum Gases
We consider a mixture of two single-spin-state fermions with an interaction
of negligible range and infinite s-wave scattering length. By varying the
mass ratio α across αc≃13.6069 one can switch on-and-off
the Efimov...
Language Edit Distance & Scored Parsing: Faster Algorithms & Connection
to Fundamental Graph Problems
November 26, 2014
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Computer Science
Data Structures and Algorithms
Formal Languages and Automata Theory
Given a context free language L(G) over alphabet Σ and a
string s∈Σ∗, {\em the language edit distance} problem seeks the
minimum number of edits (insertions, deletions and substitutions) required to
convert $s...
Iwasawa Main Conjecture for Supersingular Elliptic Curves and BSD
conjecture
November 24, 2014
Mathematics
Number Theory
In this paper we prove the ±-main conjecture of Iwasawa theory formulated
by Kobayashi for elliptic curves with supersingular reduction at an odd prime
p such that ap=0, using a key new observation that it can be reduced to
another...
Identification and Estimation of Multidimensional Screening
November 23, 2014
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Quantitative Finance
Economics
We study the identification and estimation of a multidimensional screening
model, where a monopolist sells a product with multiple qualities to consumers
with private information about their multidimensional preferences. Under
optimal scree...
On n-dependence
November 1, 2014
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Mathematics
Logic
Combinatorics
In this note we develop and clarify some of the basic combinatorial
properties of the new notion of n-dependence (for 1≤n<ω)
recently introduced by Shelah. In the same way as dependence of a theory means
its inability to enco...
Building a Balanced k-d Tree in O(kn log n) Time
October 20, 2014
Computer Science
Data Structures and Algorithms
The original description of the k-d tree recognized that rebalancing
techniques, such as are used to build an AVL tree or a red-black tree, are not
applicable to a k-d tree. Hence, in order to build a balanced k-d tree, it is
necessary to f...