87 citations · 163 across the 21 of their papers we have counts for
4 papers · 1 filter
Solution of polynomial systems derived from differential equations
E. L. Allgower, D. J. Bates, A. J. Sommese +1
Nonlinear two-point boundary value problems arise in numerous areas of application. The existence and number of solutions for various cases has been studied from a theoretical stan…
Invariant curves for birational surface maps
Jeffrey Diller, Daniel Jackson, Andrew Sommese
We classify invariant curves for birational surface maps that are expanding on cohomology. When the expansion is exponential, the arithmetic genus of an invariant curve is at most…
Solving Polynomial Systems Equation by Equation
Andrew J. Sommese, Jan Verschelde, Charles W. Wampler
By a numerical continuation method called a diagonal homotopy we can compute the intersection of two positive dimensional solution sets of polynomial systems. This paper proposes t…
Notes on very ample vector bundles on 3-folds
Hidetoshi Maeda, Andrew Sommese
Let $\Cal E$ be a very ample vector bundle of rank two on a smooth complex projective threefold . An inequality about the third Segre class of $\Cal E$ is provided when $K_X+\de…