Journal ArticleDOI
Methods of Algebraic Geometry. By W. V. D. Hodge and D. Pedoe. Vol. I: pp. viii, 440; Vol. II: pp. ix, 394. Paperback edition. 17s. 6d. each volume. (Cambridge.)
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This article is published in The Mathematical Gazette.The article was published on 1970-05-01. It has received 69 citations till now.read more
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On the Periods of Certain Rational Integrals: II
TL;DR: In this paper, the authors re-prove Macaulay's theorem 4.11 is essentially equivalent to a suitable vanishing theorem for sheaf cohomology and give a proof of the de Rham algebraic theorem used in the proof of Theorem 5.3.
Journal ArticleDOI
The algebraic geometry of stresses in frameworks
Neil White,Walter Whiteley +1 more
TL;DR: In this paper, the problem of determining the equation that must be satisfied by the coordinates of the joints in a given realization in order to have a nonzero stress, and hence an infinitesimal motion, in a bar-and-joint framework is addressed.
Journal ArticleDOI
Equations defining schubert varieties and frobenius splitting of diagonals
A. Ramanathan,A. Ramanathan +1 more
TL;DR: The Grassmannian has a natural decomposition into affine spaces in projective 3-space as discussed by the authors, which is a projective variety with a natural embedding in P A' V, the projective space of lines in the r-th exterior power of a vector space V. For a vector in A" V to be decomposable its PRicker coordinates should satisfy certain quadratic relations.
Journal ArticleDOI
Numerical Schubert Calculus
TL;DR: In this paper, the authors developed numerical homotopy algorithms for solving systems of polynomial equations arising from the classical Schubert calculus, which are optimal in that generically no paths diverge.