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- Technische Universität BraunschweigDE4 papers
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10 papers · 1 filter
Bipolynomial Hilbert functions
E. Carlini, M. V. Catalisano, A. V. Geramita
Let X be a closed subscheme and let HF(X,-) and hp(X,-) denote, respectively, the Hilbert function and the Hilbert polynomial of X. We say that X has bipolynomial Hilbert function…
Subspace arrangements, configurations of linear spaces and the quadrics containing them
E. Carlini, M. V. Catalisano, A. V. Geramita
A subspace arrangement in a vector space is a finite collection of vector subspaces. Similarly, a configuration of linear spaces in a projective space is a finite collection of lin…
Ramanujan congruences for Siegel modular forms
Michael Dewar, Olav K. Richter
We determine conditions for the existence and non-existence of Ramanujan-type congruences for Jacobi forms. We extend these results to Siegel modular forms of degree 2 and as an ap…
On the non-existence of simple congruences for quotients of Eisenstein series
Michael Dewar
A recent article of Berndt and Yee found congruences modulo 3^k for certain ratios of Eisenstein series. For all but one of these, we show there are no simple congruences a(pn+c) =…
A local-global principle for weak approximation on varieties over function fields
Mike Roth, Jason Michael Starr
We present a new perspective on the weak approximation conjecture of Hassett and Tschinkel: formal sections of a rationally connected fibration over a curve can be approximated to…
A bayesian approach to the estimation of maps between riemannian manifolds, II: examples
Leo T. Butler, Boris Levit
Let M be a smooth compact oriented manifold without boundary, imbedded in a euclidean space E and let f be a smooth map of M into a Riemannian manifold N. An unknown state x in M i…