Details:
| Title | Numerical computation of the genus of an irreducible curve within an algebraic set | | Author(s) | Daniel J. Bates, Chris Peterson, Andrew J. Sommese, Charles W. Wampler | | Type | Article in Journal | | Abstract | The common zero locus of a set of multivariate polynomials (with complex coefficients) determines an algebraic set. Any algebraic set can be decomposed into a union of irreducible components. Given a one-dimensional irreducible component, i.e. a curve, it is useful to understand its invariants. The most important invariants of a curve are the degree, the arithmetic genus and the geometric genus (where the geometric genus denotes the genus of a desingularization of the projective closure of the curve). This article presents a numerical algorithm to compute the geometric genus of any one-dimensional irreducible component of an algebraic set. | | ISSN | 0022-4049 |
| URL |
http://www.sciencedirect.com/science/article/pii/S0022404910002343 |
| Language | English | | Journal | Journal of Pure and Applied Algebra | | Volume | 215 | | Number | 8 | | Pages | 1844 - 1851 | | Year | 2011 | | Edition | 0 | | Translation |
No | | Refereed |
No |
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