共查询到20条相似文献,搜索用时 15 毫秒
1.
A quasi-coherent ringed scheme is a pair (X,
$$ \mathcal{A} $$), where X is a scheme, and
$$ \mathcal{A} $$
is a noncomutative quasi-coherent
$$ \mathcal{O}_X $$
-ring. We introduce dualizing complexes over quasi-coherent ringed schemes and study their properties. For a separated differential
quasi-coherent ringed scheme of finite type over a field, we prove existence and uniqueness of a rigid dualizing complex.
In the proof we use the theory of perverse coherent sheaves in order to glue local pieces of the rigid dualizing complex into
a global complex. 相似文献
2.
A quasi-coherent ringed scheme is a pair (X,
$$ \mathcal{A} $$), where X is a scheme, and
$$ \mathcal{A} $$
is a noncomutative quasi-coherent
$$ \mathcal{O}_X $$
-ring. We introduce dualizing complexes over quasi-coherent ringed schemes and study their properties. For a separated differential
quasi-coherent ringed scheme of finite type over a field, we prove existence and uniqueness of a rigid dualizing complex.
In the proof we use the theory of perverse coherent sheaves in order to glue local pieces of the rigid dualizing complex into
a global complex. 相似文献
3.
Computational Mathematics and Mathematical Physics - A quasi-linear partial differential algebraic system of equations of index $$(k,0)$$ is considered. A spline collocation difference scheme with... 相似文献
4.
Computational Mathematics and Mathematical Physics - An algorithm is proposed for solving the $${{P}_{1}}$$ system for acceleration corrections that arises in constructing a $$K{{P}_{1}}$$ scheme... 相似文献
5.
He-Ping Ma & Ben-Yu Guo 《计算数学(英文版)》1988,6(1):48-53
The Chebyshev polynomials have good approximation properties which are not affected by boundary values. They have higher resolution near the boundary than in the interior and are suitable for problems in which the solution changes rapidly near the boundary. Also, they can be calculated by FFT. Thus they are used mostly for initial-boundary value problems for P.D.E.'s (see [1, 3-4, 6, 8-11]). Maday and Quarterom discussed the convergence of Legendre and Chebyshev spectral approximations to the steady Burgers equation. In this paper we consider Burgers-like equations.$$\begin{cases}∂_iu+F(u)_x-vu_{zx}=0, & -1≤x≤1, 0<t≤T \\ u (-1,t) =u (1,t) =0, & 0≤t≤T & (0.1)\\ u (x,0) =u_0(x), & -1≤x≤1\end{cases}$$ where $F\in C(R)$ and there exists a positive function $A\in C(R)$ and a constant $p>1$ such that $$|F(z+y)-F(z)|\leq A(z)(|y|+|y|^p).$$ We develop a Chebyshev spectral scheme and a pseudospectral scheme for solving (0.1) and establish their generalized stability and convergence. 相似文献
6.
Theoretical and Mathematical Physics - By introducing shift relations satisfied by a matrix $$\boldsymbol{r}$$ , we propose a generalized Cauchy matrix scheme and construct a discrete second-order... 相似文献
7.
This paper presents a nonconforming finite element scheme for the planar biharmonic equation,which applies piecewise cubic polynomials(P_3) and possesses O(h~2) convergence rate for smooth solutions in the energy norm on general shape-regular triangulations. Both Dirichlet and Navier type boundary value problems are studied. The basis for the scheme is a piecewise cubic polynomial space, which can approximate the H4 functions with O(h2) accuracy in the broken H~2 norm. Besides, a discrete strengthened Miranda-Talenti estimate(▽_h~2·,▽_h~2·) =(?h·, ?h·), which is usually not true for nonconforming finite element spaces, is proved.The finite element space does not correspond to a finite element defined with Ciarlet's triple; however, it admits a set of locally supported basis functions and can thus be implemented by the usual routine. The notion of the finite element Stokes complex plays an important role in the analysis as well as the construction of the basis functions. 相似文献
8.
Benson Dave Iyengar Srikanth B. Krause Henning Pevtsova Julia 《Mathematische Zeitschrift》2017,287(3-4):947-965
Mathematische Zeitschrift - We introduce the notion of $$\pi $$ -cosupport as a new tool for the stable module category of a finite group scheme. In the case of a finite group, we use this to give... 相似文献
9.
Archiv der Mathematik - We denote by $$\mathcal {H}_{d,g,r}$$ the Hilbert scheme of smooth curves, which is the union of components whose general point corresponds to a smooth irreducible and... 相似文献
10.
11.
Götz Wiesend 《Mathematische Zeitschrift》2007,256(4):717-729
Let X be a regular arithmetic scheme, i.e. a regular integral separated scheme flat and of finite type over Spec . Generalising classical class field theory for number fields, we define a class group C
X
and show there is a natural surjective map whose kernel is the connected component of 0.
相似文献
12.
An adaptive semi-Lagrangian scheme for solving the Cauchy problem associated to the periodic 1+1-dimensional Vlasov-Poisson
system in the two- dimensional phase space is proposed and analyzed. A key feature of our method is the accurate evolution
of the adaptive mesh from one time step to the next one, based on a rigorous analysis of the local regularity and how it gets
transported by the numerical flow. The accuracy of the scheme is monitored by a prescribed tolerance parameter ε which represents the local interpolation error at each time step, in the L
∞ metric. The numerical solutions are proved to converge in L
∞ towards the exact ones as ε and Δt tend to zero provided the initial data is Lipschitz and has a finite total curvature, or in other words, that it belongs
to . The rate of convergence is , which should be compared to the results of Besse who recently established in (SIAM J Numer Anal 42(1):350–382, 2004) similar
rates for a uniform semi-Lagrangian scheme, but requiring that the initial data are in . Several numerical tests illustrate the effectiveness of our approach for generating the optimal adaptive discretizations. 相似文献
13.
Stefan Gille 《manuscripta mathematica》2006,121(4):437-450
Let
be an Azumaya algebra over a locally noetherian scheme X. We describe in this work quasi-coherent
-bimodules which are injective in the category of sheaves of left
-modules 相似文献
14.
De-Xiang Ma 《Journal of Applied Mathematics and Computing》2007,25(1-2):329-337
In the paper, we obtain the existence of positive solutions and establish a corresponding iterative scheme for BVPs $$\left\{ \begin{gathered} (\phi _p (u\prime ))\prime + q(t)f(t, u) = 0,0< t< 1, \hfill \\ u(0) - B(u\prime (\eta )) = 0, u\prime (1) = 0 \hfill \\ \end{gathered} \right.$$ and $$\left\{ \begin{gathered} (\phi _p (u\prime ))\prime + q(t)f(t, u) = 0,0< t< 1, \hfill \\ u\prime (0) = 0, u(1) + B(u\prime (\eta )) = 0 \hfill \\ \end{gathered} \right.$$ The main tool is the monotone iterative technique. Here, the coefficientq(t) may be singular att = 0,1. 相似文献
15.
The group PGL(2,q) has an embedding into PGL(3,q) such that it acts as the group fixing a nonsingular conic in PG(2,q). This action affords a coherent configuration (q) on the set (q) of non-tangent lines of the conic. We show that the relations can be described by using the cross-ratio. Our results imply that the restrictions
+(q) and
−(q) of (q) to the set
+(q) of secant (hyperbolic) lines and to the set
−(q) of exterior (elliptic) lines, respectively, are both association schemes; moreover, we show that the elliptic scheme
−(q) is pseudocyclic.We further show that the coherent configurations (q
2) with q even allow certain fusions. These provide a 4-class fusion of the hyperbolic scheme
+(q
2), and 3-class fusions and 2-class fusions (strongly regular graphs) of both schemes
+(q
2) and
−(q
2). The fusion results for the hyperbolic case are known, but our approach here as well as our results in the elliptic case are new. 相似文献
16.
Alexander Schmidt 《Mathematische Zeitschrift》2007,256(4):731-736
We use a result of G. Wiesend to establish the relation between the integral singular homology in degree zero and the abelianized
tame fundamental group of a regular, connected scheme of finite type over Spec .
相似文献
17.
Applications of Mathematics - We study the axisymmetric Navier-Stokes equations. In 2010, Loftus-Zhang used a refined test function and re-scaling scheme, and showed that $$\left| {{\omega... 相似文献
18.
A K-meson is found to decay at rest into a nearly relativistic secondary particle. The secondary particle produces a nuclear disintegration in flight and is identified as a π-meson of kinetic energy ~ 110 MeV. The event is interpreted as the decay of a θ±-meson according to the scheme:
$$\theta ^ \pm \to \pi ^ \pm + \pi ^0 + (222 \pm 12 MeV.)$$ 相似文献
19.
Positivity - Let $$(A,{\mathscr {A}},\mu )$$ and $$(B,{\mathscr {B}},\nu )$$ be probability spaces, let $${\mathscr {F}}$$ be a sub- $$\sigma $$ -algebra of the product $$\sigma $$ -algebra... 相似文献
20.
In this paper we discuss the security of digital signature schemes based on error-correcting codes. Several attacks to the Xinmei scheme are surveyed, and some reasons given to explain why the Xinmei scheme failed, such as the linearity of the signature and the redundancy of public keys. Another weakness is found in the Alabbadi-Wicker scheme, which results in a universal forgery attack against it. This attack shows that the Alabbadi-Wicker scheme fails to implement the necessary property of a digital signature scheme: it is infeasible to find a false signature algorithm D
from the public verification algorithm E such that E(D
(
)) =
for all messages
. Further analysis shows that this new weakness also applies to the Xinmei scheme. 相似文献