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The relative dynamics of investment and the current account in the G-7 economies
This paper contributes to the empirics of the intertemporal approach to the current account. We use a cointegrated VAR framework to identify permanent and transitory components of country-specific and global shocks. Our approach allows us to empirically investigate the sensitivity to persistence implied by many forward-looking models and our results shed new light on the excess volatility of investment encountered by Glick and Rogoff (JME 1995). In G7 data, we find the relative current-account and investment response to be in line with the intertemporal approach
q-Deformed Relativistic Wave Equations
Based on the representation theory of the -deformed Lorentz and Poincar\'e
symmeties -deformed relativistic wave equation are constructed. The most
important cases of the Dirac-, Proca-, Rarita-Schwinger- and Maxwell- equations
are treated explicitly. The -deformed wave operators look structurally like
the undeformed ones but they consist of the generators of a non-commu\-ta\-tive
Minkowski space. The existence of the -deformed wave equations together with
previous existence of the -deformed wave equations together with previous
results on the representation theory of the -deformed Poincar\'e symmetry
solve the -deformed relativistic one particle problem.Comment: 17 Page
Components of Gr\"obner strata in the Hilbert scheme of points
We fix the lexicographic order on the polynomial ring
over a ring . We define \Hi^{\prec\Delta}_{S/k},
the moduli space of reduced Gr\"obner bases with a given finite standard set
, and its open subscheme \Hi^{\prec\Delta,\et}_{S/k}, the moduli
space of families of #\Delta points whose attached ideal has the standard set
. We determine the number of irreducible and connected components of
the latter scheme; we show that it is equidimensional over ; and
we determine its relative dimension over . We show that analogous
statements do not hold for the scheme \Hi^{\prec\Delta}_{S/k}. Our results
prove a version of a conjecture by Bernd Sturmfels.Comment: 49 page
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