Results 251 to 260 of about 276,684 (327)

Parallel Architecture: From Problems and Mysteries to Solutions and Explanations

open access: yesTopics in Cognitive Science, EarlyView.
Abstract We argue that Jackendoff's Parallel Architecture (PA) is the right way to think about the architecture of the language faculty. The critical property of this architecture is that it allows for genuine explanation by allocating different aspects of linguistic phenomena to appropriate corresponding representations and capacities.
Peter W. Culicover, Giuseppe Varaschin
wiley   +1 more source

The birational geometry of GIT quotients

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract Geometric invariant theory (GIT) produces quotients of algebraic varieties by reductive groups. If the variety is projective, this quotient depends on a choice of polarisation; by work of Dolgachev–Hu and Thaddeus, it is known that two quotients of the same variety using different polarisations are related by birational transformations.
Ruadhaí Dervan, Rémi Reboulet
wiley   +1 more source

Removing scalar curvature assumption for Ricci flow smoothing

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract In recent work of Chan–Huang–Lee, it is shown that if a manifold enjoys uniform bounds on (a) the negative part of the scalar curvature, (b) the local entropy, and (c) volume ratios up to a fixed scale, then there exists a Ricci flow for some definite time with estimates on the solution assuming that the local curvature concentration is small ...
Adam Martens
wiley   +1 more source

Noncompact surfaces, triangulations and rigidity

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract Every noncompact surface is shown to have a (3,6)‐tight triangulation, and applications are given to the generic rigidity of countable bar‐joint frameworks in R3${\mathbb {R}}^3$. In particular, every noncompact surface has a (3,6)‐tight triangulation that is minimally 3‐rigid. A simplification of Richards' proof of Kerékjártó's classification
Stephen C. Power
wiley   +1 more source

Étale motives of geometric origin

open access: yesBulletin of the London Mathematical Society, EarlyView.
Abstract Over qcqs finite‐dimensional schemes, we prove that étale motives of geometric origin can be characterised by a constructibility property which is purely categorical, giving a full answer to the question ‘Do all constructible étale motives come from geometry?’ which dates back to Cisinski and Déglise's work.
Raphaël Ruimy, Swann Tubach
wiley   +1 more source

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