Computing characteristic classes of projective schemes

✍ Scribed by Paolo Aluffi

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 238 KB
• Volume: 35
• Category: Article
• ISSN: 0747-7171
• DOI: 10.1016/s0747-7171(02)00089-5

✦ Synopsis

We discuss an algorithm computing the push-forward to projective space of several classes associated to a (possibly singular, reducible, non-reduced) projective scheme. For example, the algorithm yields the topological Euler characteristic of the support of a projective scheme S, given the homogeneous ideal of S. The algorithm has been implemented in Macaulay2.