Results 51 to 60 of about 727,816 (287)
VARIETIES OF SIGNATURE TENSORS
The signature of a parametric curve is a sequence of tensors whose entries are iterated integrals. This construction is central to the theory of rough paths in stochastic analysis. It is examined here through the lens of algebraic geometry.
CARLOS AMÉNDOLA+2 more
doaj +1 more source
Generating the bounded derived category and perfect ghosts [PDF]
We show, for a wide class of abelian categories relevant in representation theory and algebraic geometry, that the bounded derived categories have no non-trivial strongly finitely generated thick subcategories containing all perfect complexes.
Oppermann, Steffen, Stovicek, Jan
core +1 more source
Chern Character, Loop Spaces and Derived Algebraic Geometry [PDF]
In this note we present a work in progress whose main purpose is to establish a categorified version of sheaf theory. We present a notion of derived categorical sheaves, which is a categorified version of the notion of complexes of sheaves of modules on schemes, as well as its quasi-coherent and perfect versions.
B. Toen, VEZZOSI, GABRIELE
openaire +6 more sources
Quadratic forms and Clifford algebras on derived stacks [PDF]
In this paper we present an approach to quadratic structures in derived algebraic geometry. We define derived n-shifted quadratic complexes, over derived affine stacks and over general derived stacks, and give several examples of those.
Vezzosi, Gabriele
core +2 more sources
Albany/FELIX: a parallel, scalable and robust, finite element, first-order Stokes approximation ice sheet solver built for advanced analysis [PDF]
This paper describes a new parallel, scalable and robust finite element based solver for the first-order Stokes momentum balance equations for ice flow.
I. K. Tezaur+4 more
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Feng-Rao decoding of primary codes [PDF]
We show that the Feng-Rao bound for dual codes and a similar bound by Andersen and Geil [H.E. Andersen and O. Geil, Evaluation codes from order domain theory, Finite Fields Appl., 14 (2008), pp.
Geil, Olav+2 more
core +4 more sources
Characteristic Number: Theory and Its Application to Shape Analysis
Geometric invariants are important for shape recognition and matching. Existing invariants in projective geometry are typically defined on the limited number (e.g., five for the classical cross-ratio) of collinear planar points and also lack the ability ...
Xin Fan+5 more
doaj +1 more source
Birkhoff's Theorem from a geometric perspective: A simple example [PDF]
From Hilbert's theorem of zeroes, and from Noether's ideal theory, Birkhoff derived certain algebraic concepts (as explained by Tholen) that have a dual significance in general toposes, similar to their role in the original examples of algebraic ...
F. William Lawvere
doaj
Analytical Approach for Orbital Evasion with Space Geometry Considered
This paper researches an optimal problem of orbital evasion with considering space geometry by using an analytical approach. Firstly, an angles-only relative navigation model is built and the definition of completely nonobservable maneuver is proposed ...
Dateng Yu+3 more
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