4,065 research outputs found
The rigid analytical regulator and K_2 of Drinfeld modular curves
We evaluate a rigid analytical analogue of the Beilinson-Bloch-Deligne
regulator on certain explicit elements in the K_2 of Drinfeld modular curves,
constructed from analogues of modular units, and relate its value to special
values of L-series using the Rankin-Selberg method.Comment: 38 pages, to appear in Publ. Res. Inst. Math. Sc
On the kernel and the image of the rigid analytic regulator in positive characteristic
We will formulate and prove a certain reciprocity law relating certain
residues of the differential symbol dlog^2 from the K_2 of a Mumford curve to
the rigid analytic regulator constructed by the author in a previous paper. We
will use this result to deduce some consequences on the kernel and image of the
rigid analytic regulator analogous to some old conjectures of Beilinson and
Bloch on the complex analytic regulator. We also relate our construction to the
symbol defined by Contou-Carrere and to Kato's residue homomorphism, and we
show that Weil's reciprocity law directly implies the reciprocity law of
Anderson and Romo.Comment: 28 pages, to appear in Publ. Res. Inst. Math. Sc
Pattern Recognition: Industry seeking regulation – the case of crowdfunding. Bruges Political Research Papers 79/2020
At first it seems counterintuitive that an industry would seek regulation over itself, but from the point of view of crowdfunding, it was a logical step. Crowdfunding, as part of FinTech, is changing and challenging traditional financial institutions. The fragmentation of the EU market by national legislation on crowdfunding hindered its growth, and although FinTech is a diffuse interest, crowdfunding, as a pragmatic diffuse interest, formed legitimacy coalitions with the regulators. Utilizing Trumbull’s framework on pragmatic diffuse interest, my aim is to demonstrate through this case study that the industry lobby had influenced the agenda-setting and the policy-shaping, but only to the extent that there wasn’t conflicting interest from consumer groups. This is in line with previous finding on financial industry lobbying and some preliminary findings emerge, although as the proposal is still in first reading stage, the end results and conclusions remains to be see
The -adic monodromy group of abelian varieties over global function fields of characteristic
We prove an analogue of the Tate isogeny conjecture and the semi-simplicity
conjecture for overconvergent crystalline Dieudonn\'e modules of abelian
varieties defined over global function fields of characteristic . As a
corollary we deduce that monodromy groups of such overconvergent crystalline
Dieudonn\'e modules are reductive, and after a finite base change of
coefficients their connected components are the same as the connected
components of monodromy groups of Galois representations on the corresponding
-adic Tate modules, for different from . We also show such a result
for general compatible systems incorporating overconvergent -isocrystals,
conditional on a result of Abe.Comment: 56 pages, comments welcome
Modal Empiricism and Two-Dimensional Semantics
In the paper I argue that it follows from David Chalmers’ semantics and metaphysics concerning microphysical terms that microphysical identifications are strongly necessary. This result supports modal empiricism and also counts in favour of a posteriori materialism (and thus against Chalmers’ property dualism), for it blocks the conjecture that a posteriori materialism is committed to strong necessities, but there are no such modalities
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