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Algorithms for Del Pezzo Surfaces of Degree 5 (Construction, Parametrization)
Algorithms Del Pezzo Surfaces of Degree 5
2010/12/9
It is well known that every Del Pezzo surface of degree 5 defined over k is parametrizable over k. In this paper we give an efficient construction for parametrizing, as well as algorithms for construc...
Computation of Darboux polynomials and rational first integrals with bounded degree in polynomial time
Darboux polynomials rational first integrals bounded degree
2010/12/7
In this paper we study planar polynomial differential systems of this form: dX dt = ˙X = A(X, Y ),dY dt = ˙Y = B(X, Y ),where A,B ∈ Z[X, Y ] and deg A ≤ d, degB ≤ d, kAk1 ≤ H and kBk1 ≤H. A lot of pro...
A Topological Degree Counting for some Liouville Systems of Mean Field Equations
Topological Degree some Liouville Systems of Mean Field Equations
2010/11/26
Let A = (aij)n×n be an invertible matrix and A−1 =(aij )n×n be the inverse of A. In this paper.
Transcendence degree of zero-cycles and the structure of Chow motives
algebraic cycles rational equivalence motives balanced corre-spondence
2010/12/1
In the paper we introduce a transcendence degree of a zero-cycle on a smooth projective variety X and relate it to the structure of the motive of X.
Ranking and unranking trees with given degree sequences
Ranking and unranking trees given degree sequences
2010/12/3
In this paper, we provide algorithms to rank and unrank certain degree-restricted classes
of Cayley trees. Speci cally, we consider classes of trees that have a given degree sequence
or a given mult...
Every closed Kähler manifold with degree of mobility $\ge 3$ is $(CP(n), g_{Fubini-Study})$
Every closed Kä hler manifold degree
2010/12/14
The degree of mobility of a (pseudo-Riemannian) K¨ahler metric is the dimension of the space of metrics h-projectively equivalent to it. We prove that a metric on a closed connected manifold can not h...
Bounding an index by the largest character degree of a solvable group
Index Character Degree p-radical
2010/12/14
In this paper, we show that if p is a prime and G is a p-solvable group, then |G: Op(G)|p (b(G)p/p)1/(p−1) where b(G) is the largest character degree of G. If p is an odd prime that is not a M...
Numerical Computation of a Certain Dirichlet Series Attached to Siegel Modular Forms of Degree Two
Dirichlet Series Attached Siegel Modular Forms Degree Two
2010/12/8
The Rankin convolution type Dirichlet series DF,G(s) of Siegel modular forms F and G of degree two, which was introduced by Kohnen and the second author, is computed numerically for various F and G.
Commutativity degree, its generalizations, and classification of finite groups
Commutativity degree generalizations classification of finite groups
2010/12/14
Classification of finite groups is a central problem in theory of groups.Even though finite abelian groups have been completely classified, a lot still remains to be done as far as non-abelian groups ...
Zero Cycles of Degree One on Principal Homogeneous Spaces
Zero Cycles of Degree One Principal Homogeneous Spaces
2010/12/10
Let k be a field of characteristic different from 2. Let G be a simply connected or adjoint semisimple algebraic k-group which does not contain a simple factor of type E8 and such that every exception...
On the degree of approximation of functions from Lipschitz classes
degree approximation functions Lipschitz classes
2010/9/10
On the degree of approximation of functions from Lipschitz classes.
Explicit non-algebraic limit cycle for polynomial systems of degree seven
Planar polynomial differential system Algebraic solution
2010/9/13
Explicit non-algebraic limit cycle for polynomial systems of degree seven.
On Zeros of Reciprocal Polynomials of Odd Degree
Reciprocal Semi-reciprocal polynomials Chebyshev transform Zeros on the unit circle
2008/6/27
On Zeros of Reciprocal Polynomials of Odd Degree.
On the Degree of Strong Approximation of Integrable Functions
Integrable Functions Strong Approximation Degree
2008/6/27
We show the strong approximation version of some results of L. Leindler [3] connected with the theorems of P. Chandra [1,2].
ESTIMATING THE DEGREE OF ACTIVITY OF JUMPS IN HIGH FREQUENCY DATA
Jumps index of activity infinite activity discrete sampling high frequency
2014/3/13
We define a generalized index of jump activity, propose estimators of that index for a discretely sampled process and derive the estimators’ properties.These estimators are applicable despite the pres...