6,674 research outputs found
Sharp de Rham realization
We introduce the "sharp" (universal) extension of a 1-motive (with additive
factors and torsion) over a field of characteristic zero. We define the "sharp
de Rham realization" by passing to the Lie-algebra. Over the complex numbers we
then show a (sharp de Rham) comparison theorem in the category of formal Hodge
structures. For a free 1-motive along with its Cartier dual we get a canonical
connection on their sharp extensions yielding a perfect pairing on sharp
realizations. We thus provide "one-dimensional sharp de Rham cohomology" of
algebraic varieties.Comment: 30 page
On the Deligne--Beilinson cohomology sheaves
We are showing that the Deligne--Beilinson cohomology sheaves are torsion free by assuming Kato's conjectures
hold true for function fields. This result is `effective' for ; in this
case, by dealing with `arithmetic properties' of the presheaves of mixed Hodge
structures defined by singular cohomology, we are able to give a cohomological
characterization of the Albanese kernel for surfaces with .Comment: 12 pages, LaTeX 2.0
Category forcings, , and generic absoluteness for the theory of strong forcing axioms
We introduce a category whose objects are stationary set preserving complete
boolean algebras and whose arrows are complete homomorphisms with a stationary
set preserving quotient. We show that the cut of this category at a rank
initial segment of the universe of height a super compact which is a limit of
super compact cardinals is a stationary set preserving partial order which
forces and collapses its size to become the second uncountable
cardinal. Next we argue that any of the known methods to produce a model of
collapsing a superhuge cardinal to become the second uncountable
cardinal produces a model in which the cutoff of the category of stationary set
preserving forcings at any rank initial segment of the universe of large enough
height is forcing equivalent to a presaturated tower of normal filters. We let
denote this statement and we prove that the theory of
with parameters in is generically invariant
for stationary set preserving forcings that preserve . Finally we
argue that the work of Larson and Asper\'o shows that this is a next to optimal
generalization to the Chang model of Woodin's generic
absoluteness results for the Chang model . It remains open
whether and are equivalent axioms modulo large cardinals
and whether suffices to prove the same generic absoluteness results
for the Chang model .Comment: - to appear on the Journal of the American Mathemtical Societ
The Proper Forcing Axiom and the Singular Cardinal Hypothesis
We show that the Proper Forcing Axiom implies the Singular Cardinal
Hypothesis. The proof is by interpolation and uses the Mapping Reflection
Principle.Comment: 10 page
Sola fides at the Core of Varieties: Luther as Religious Genius in William James's Thought?
The purpose of this article is to show the great influence of Luther's conception of religion on James' Varieties of Religious Experience. I will argue that James's conception of religion should be interpreted as a philosophical course of Lutheranism; and that, as a course of Lutheranism, James's conception of religion infers the most radical consequences of the Lutheran principle of sola fides.Fil: Viale, Claudio Marcelo. Consejo Nacional de Investigaciones CientĂficas y TĂ©cnicas; Argentina. Universidad Nacional de CĂłrdoba. Facultad de Derecho y Ciencias Sociales. Centro de Investigaciones JuridĂcas y Sociales; Argentin
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