scholarly journals Canonical models for torus canards in elliptic bursters

2021 ◽  
Vol 31 (6) ◽  
pp. 063129
Author(s):  
E. Baspinar ◽  
D. Avitabile ◽  
M. Desroches
Keyword(s):  
Canonical Models ◽  
Torus Canards

scholarly journals RAPOPORT–ZINK UNIFORMIZATION OF HODGE-TYPE SHIMURA VARIETIES

2018 ◽  
Vol 6 ◽  
Author(s):  
WANSU KIM
Keyword(s):  
Shimura Varieties ◽  
Good Reduction ◽  
Canonical Models

We show that the integral canonical models of Hodge-type Shimura varieties at odd good reduction primes admits ‘$p$-adic uniformization’ by Rapoport–Zink spaces of Hodge type constructed in Kim [Forum Math. Sigma6(2018) e8, 110 MR 3812116].

scholarly journals Generic torus canards

2017 ◽  
Vol 356-357 ◽  
pp. 37-64 ◽  
Author(s):  
Theodore Vo
Keyword(s):  
Torus Canards

scholarly journals Canonical Models for Representations of Hardy Algebras

2005 ◽  
Vol 53 (3) ◽  
pp. 411-452 ◽  
Author(s):  
Paul S. Muhly ◽  
Baruch Solel
Keyword(s):  
Canonical Models ◽  
Hardy Algebras

EQUIVALENT CNN CELL MODELS AND PATTERNS

2003 ◽  
Vol 13 (05) ◽  
pp. 1055-1161 ◽  
Author(s):  
MAKOTO ITOH ◽  
LEON O. CHUA
Keyword(s):  
Genetic Algorithms ◽  
Wave Propagation ◽  
Pattern Formation ◽  
Discrete Time ◽  
Cell Model ◽  
Formation Mechanisms ◽  
Associative Memories ◽  
Cell Models ◽  
Canonical Models ◽  
Constrained Conditions

In this paper, canonical isolated CNN cell models are proposed by using implicit differential equations. A number of equivalent but distinct CNN cell models are derived from these canonical models. Almost every known CNN cell model can be classified into one or more groups via constrained conditions. This approach is also applied to discrete-time CNN cell models. Pattern formation mechanisms are investigated from the viewpoint of equivalent templates and genetic algorithms. A strange wave propagation phenomenon in nonuniform CNN cells is also presented in this paper. Finally, chaotic associative memories are proposed.

Identification of Canonical Models for Vectors of Time Series: A Subspace Approach

2015 ◽  
Author(s):  
Alfredo Garcca-Hiernaux ◽  
Joss Casals ◽  
Miguel Jerez
Keyword(s):  
Time Series ◽  
Canonical Models

scholarly journals Canonical models for invariant subspaces

1980 ◽  
Vol 91 (2) ◽  
pp. 377-395 ◽  
Author(s):  
Michael McAsey
Keyword(s):  
Invariant Subspaces ◽  
Canonical Models

scholarly journals Integral canonical models for Spin Shimura varieties

2015 ◽  
Vol 152 (4) ◽  
pp. 769-824 ◽  
Author(s):  
Keerthi Madapusi Pera
Keyword(s):  
Modular Forms ◽  
Fourier Coefficients ◽  
K3 Surfaces ◽  
Shimura Varieties ◽  
Good Reduction ◽  
Intersection Numbers ◽  
Orthogonal Groups ◽  
Canonical Models ◽  
Tate Conjecture ◽  
Precise Sense

We construct regular integral canonical models for Shimura varieties attached to Spin and orthogonal groups at (possibly ramified) primes$p>2$where the level is not divisible by$p$. We exhibit these models as schemes of ‘relative PEL type’ over integral canonical models of larger Spin Shimura varieties with good reduction at$p$. Work of Vasiu–Zink then shows that the classical Kuga–Satake construction extends over the integral models and that the integral models we construct are canonical in a very precise sense. Our results have applications to the Tate conjecture for K3 surfaces, as well as to Kudla’s program of relating intersection numbers of special cycles on orthogonal Shimura varieties to Fourier coefficients of modular forms.

ℤ3-actions on Horikawa surfaces

2021 ◽  
pp. 2150097
Author(s):  
Vicente Lorenzo
Keyword(s):  
Moduli Space ◽  
General Type ◽  
Admissible Pair ◽  
Algebraic Surfaces ◽  
The Other ◽  
Connected Components ◽  
Surfaces Of General Type ◽  
Canonical Models ◽  
Normal Surfaces ◽  
Stable Surfaces

Minimal algebraic surfaces of general type [Formula: see text] such that [Formula: see text] are called Horikawa surfaces. In this note, [Formula: see text]-actions on Horikawa surfaces are studied. The main result states that given an admissible pair [Formula: see text] such that [Formula: see text], all the connected components of Gieseker’s moduli space [Formula: see text] contain surfaces admitting a [Formula: see text]-action. On the other hand, the examples considered allow us to produce normal stable surfaces that do not admit a [Formula: see text]-Gorenstein smoothing. This is illustrated by constructing non-smoothable normal surfaces in the KSBA-compactification [Formula: see text] of Gieseker’s moduli space [Formula: see text] for every admissible pair [Formula: see text] such that [Formula: see text]. Furthermore, the surfaces constructed belong to connected components of [Formula: see text] without canonical models.

Sign in / Sign up

Export Citation Format

Share Document