Results 21 to 30 of about 152,344 (258)

Algebraic dynamics of skew-linear self-maps [PDF]

, 2018
Let $X$ be a variety defined over an algebraically closed field $k$ of characteristic $0$, let $N\in\mathbb{N}$, let $g:X\dashrightarrow X$ be a dominant rational self-map, and let $A:\mathbb{A}^N\to \mathbb{A}^N$ be a linear transformation defined over $
D. Ghioca, Junyi Xie
semanticscholar   +1 more source

Potential Investigation of Linking PROSAIL with the Ross-Li BRDF Model for Vegetation Characterization

Remote Sensing, 2018
Methods that link different models for investigating the retrieval of canopy biophysical/structural variables have been substantially adopted in the remote sensing community.
Xiaoning Zhang, Ziti Jiao, Yadong Dong, Hu Zhang, Yang Li, Dandan He, Anxin Ding, Siyang Yin, Lei Cui, Yaxuan Chang   +9 more
doaj   +1 more source

Counting Rational Points on K3 Surfaces [PDF]

, 1999
For any algebraic variety $V$ defined over a number field $k$, and ample height function $H$ on $V$, one can define the counting function $N_V(B) = #{P\in V(k) \mid H(P)\leq B}$.
McKinnon, David
core   +2 more sources

On the existence of Levi Foliations

Anais da Academia Brasileira de Ciências, 2001
Let L be a real 3 dimensional analytic variety. For each regular point p L there exists a unique complex line l p on the space tangent to L at p. When the field of complex line p l p is completely integrable, we say that L is Levi variety.
RENATA N. OSTWALD
doaj   +1 more source

Elliptic curves and Hilbert’s tenth problem for algebraic function fields over real and p-adic fields [PDF]

, 2004
Let k be a field of characteristic zero, V  a smooth, positive-dimensional, quasiprojective variety over k, and Q  a nonempty divisor on V. Let K  be the function field of V, and A ⊂ K  the semilocal ring of Q. We prove the Diophantine undecidability of:
L. Moret-Bailly
semanticscholar   +1 more source

Explicit root numbers of abelian varieties [PDF]

, 2019
The Birch and Swinnerton-Dyer conjecture predicts that the parity of the algebraic rank of an abelian variety over a global field should be controlled by the expected sign of the functional equation of its $L$-function, known as the global root number ...
Bisatt, Matthew
core   +3 more sources

J-invariant of linear algebraic groups [PDF]

, 2007
Let G be a linear algebraic group over a field F and X be a projective homogeneous G-variety such that G splits over the function field of X. In the present paper we introduce an invariant of G called J-invariant which characterizes the motivic behaviour
Petrov, Victor, Semenov, Nikita, Zainoulline, Kirill   +2 more
core   +4 more sources

The J-invariant, Tits algebras and Triality [PDF]

, 2011
In the present paper we set up a connection between the indices of the Tits algebras of a simple linear algebraic group $G$ and the degree one parameters of its motivic $J$-invariant.
Quéguiner-Mathieu, Anne, Semenov, Nikita, Zainoulline, Kirill   +2 more
core   +2 more sources

Abelian Function Fields on Jacobian Varieties [PDF]

Axioms
The aim of this paper is an exposition of fields of multiply periodic, or Kleinian, ℘-functions. Such a field arises on the Jacobian variety of an algebraic curve, providing natural algebraic models for the Jacobian and Kummer varieties, possessing the ...
Julia Bernatska
semanticscholar   +1 more source

Equivariant Chern classes of singular algebraic varieties with group actions [PDF]

Mathematical Proceedings of the Cambridge Philosophical Society, 2004
We define equivariant Chern–Schwartz–MacPherson classes of a possibly singular algebraic $G$-variety over the base field $\mathbb{C}$, or more generally over a field of characteristic 0. In fact, we construct a natural transformation $C^G_*$ from the $G$-
T. Ohmoto
semanticscholar   +1 more source