Implicitization of tensor product surfaces via virtual projective resolutions

• Type: Article in International Scientific Journal
• Date: 2020

Authors

Duarte E. (Author) Other; Seceleanu A. (Author) Other

Journal

Title: Mathematics of Computation

Vol. 89

Pages: 3023-3056

ISSN: 0025-5718

Publisher: American Mathematical Society

Indexing

Scopus - 0 Citations

Other information

Authenticus ID: P-00X-9EM

DOI: 10.1090/mcom/3548

Abstract (EN): We derive the implicit equations for certain parametric surfaces in three-dimensional projective space termed tensor product surfaces. Our method computes the implicit equation for such a surface based on the knowledge of the syzygies of the base point locus of the parametrization by means of constructing an explicit virtual projective resolution.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 33