使人烦燥 发表于 2025-3-23 12:53:43
http://reply.papertrans.cn/16/1526/152592/152592_11.png抵制 发表于 2025-3-23 14:25:23
https://doi.org/10.1007/978-1-4419-5548-7Our aim is to show that two plane curves of degrees . and . have exactly . intersection points. We saw in the introduction that we need to take care when stating this result.无动于衷 发表于 2025-3-23 21:10:20
http://reply.papertrans.cn/16/1526/152592/152592_13.pngGIST 发表于 2025-3-24 02:08:52
https://doi.org/10.1007/978-3-319-42076-9We assume that the field . is algebraically closed. We will use the following notation:唤醒 发表于 2025-3-24 02:32:33
Affine algebraic sets,Let . be a positive integer. Consider the space.. If . = (., …, .) is a point in . and .(., …, .) is a polynomial, we denote .(., …, .) by .(.). The first fundamental objects we encounter are the affine algebraic sets defined below.木质 发表于 2025-3-24 08:50:45
http://reply.papertrans.cn/16/1526/152592/152592_16.png低能儿 发表于 2025-3-24 14:04:55
http://reply.papertrans.cn/16/1526/152592/152592_17.pngintellect 发表于 2025-3-24 17:18:08
http://reply.papertrans.cn/16/1526/152592/152592_18.pngsultry 发表于 2025-3-24 22:31:14
Liaison of space curves,We assume that the field . is algebraically closed. We will use the following notation:合乎习俗 发表于 2025-3-25 00:54:53
Projective algebraic sets,n intersections always contain a certain number of special cases due to parallel lines or asymptotes. For example, in the plane two distinct lines meet at a unique point except when they are parallel. In projective space, there are no such exceptions.