[PDF] Top 20 Rational points on smooth cubic hypersurfaces
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Rational points on smooth cubic hypersurfaces
... K-rational points of S(K), to use secant and tangent constructions to obtain new ...K-rational points that generates all other points through this ... See full document
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Cubic hypersurfaces and a version of the circle method for number fields
... Given the broad impact that [4] and [8] have had on number-theoretic problems over Q, one might view Theorem 1.2 as foundational in a systematic programme of work to extend our understanding to the setting of general ... See full document
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A Mordell Weil theorem for cubic hypersurfaces of high dimension
... a smooth real cubic ...on smooth real cubic surface is either 3, 7, 15 or ...a smooth real surface is called hyperbolic if the Gaussian curvature at the point is ...two points of ... See full document
12
Étale monodromy and rational equivalence for $1$-cycles on cubic hypersurfaces in $\mathbb P^5$
... a smooth projective variety X of even dimension 2p, embedded into a projective space, such that, if Y is a smooth hyperplane section of X, the “continuous” Chow group A p (Y ) is weakly representable in the ... See full document
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Cubic hypersurfaces and a version of the circle method for number fields
... a cubic hypersurface X ⊆ P n−1 K defined over a number field K , a “folklore” conjecture predicts that the set X(K) of K-rational points on X is non- empty as soon as n > ... See full document
48
Étale monodromy and rational equivalence for $1$-cycles on cubic hypersurfaces in $\mathbb P^5$
... modulo rational equivalence on Y and X ...is smooth, the group A p (Y ) is regu- larly parametrized by an abelian variety A and coincides with the subgroup of degree 0 classes in the Chow group CH p (Y ... See full document
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Hanselmann, Markus Andreas (2012): Rational points on quartic hypersurfaces. Dissertation, LMU München: Fakultät für Mathematik, Informatik und Statistik
... Our proof will be much in the spirit of the work of Browning and Heath-Brown. The main difference in our approach is that we combine the van der Corput differencing process of the corresponding exponential sum with a ... See full document
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Data Visualization for Constrained Data using C2 Rational Cubic Spline
... S Pline interpolation is a significant tool in Computer Graphics, Computer Aided Geometric Design and Engineering as well. Shape preserving of given data plays imperative role in the data visualization environment. Data ... See full document
6
Rational curves on smooth cubic hypersurfaces over finite fields
... of rational curves on ...all smooth cubic hypersurfaces of large enough dimension which are defined over a finite field of characteristic exceeding ... See full document
13
Rational points on cubic hypersurfaces over F_q(t)
... to cubic forms over Q, reaching a zenith in Hooley’s work on octonary cubic ...the smooth δ-function technology that was intro- duced by Duke, Friedlander and Iwaniec ...associated cubic ... See full document
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Bubbling analysis and geometric convergence results for free boundary minimal surfaces
... minimal hypersurfaces from ...minimal hypersurfaces developed in [5, §3] to construct various point-scale sequences which will detect all the non-trivial bubbles and half-bubbles that develop at ... See full document
45
Rational points on Erdős–Selfridge superelliptic curves
... For a fixed pair of positive integers (k, `), equation (1) defines a superelliptic curve of genus at least (` − 1)(k − 2)/2. In particular, if ` + k > 6, the genus exceeds 1, and by Faltings’ theorem [8], the number ... See full document
6
Involute of Cubic Pythagorean-Hodograph Curve
... know cubic PH curve’s involute can be fully determined by the PH curve’s control polygon vertexs 、 side length and turing angle of adjacent ...the cubic PH curve’s involute,which include the first two ... See full document
8
A Burns Krantz type theorem for domains with corners
... at points of the edge M other than p (though it has nontangential limits almost everywhere by a result of Forstneriˇ c [Fo92]) and, in case it has a continuous boundary value, it is not assumed to send M into ... See full document
13
On some fixed points of generalized contractions with rational expressions and applications
... where x 0 ∈ X and {α n } n and {β n } n are sequences in [0, 1]. It can be seen as a sort of two-step Mann iteration with two different parameters sequences. This iterative process was first intro- duced by Ishikawa in ... See full document
15
Rational Trigonometric Interpolation and Constrained Control of the Interpolant Curves
... for smooth rational cubic trigonometric interpolation based on values of function which is being ...This rational cubic trigonometric spline is used to constrain the shape of the ... See full document
5
Shape Preserving Positive and Convex Data Visualization using Rational Bi-cubic Functions
... Developed schemes are equally applicable for the data with derivative or without derivatives while in schemes developed by Casciola et al. (2003) andDuan et al.(2006)work if partial derivatives at the knots are known. ... See full document
18
Texture Classification Using Spline, Wavelet Decomposition and Fractal Dimension
... the smooth and rough image components which are produced by decomposing the image signal into the smooth cubic spline surface and rough residue ... See full document
6
Surfactant-Enabled Epitaxy of Smooth, Cubic Oxides on GaN.
... maximum values for the {111} CaO reflection were reduced from 0.3° to 0.2°. This effect can be understood by considering that without a surfactant, there are numerous low angle boundaries that separate the CaO grains ... See full document
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More variants of Erdos Selfridge superelliptic curves and their rational points
... The condition P m > k in the above result would ensure that there exists a prime which divides only one term of the product and this is an easy case to form a required ternary equation, [r] ... See full document
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