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.png

GIST 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.png

intellect 发表于 2025-3-24 17:18:08

http://reply.papertrans.cn/16/1526/152592/152592_18.png

sultry 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.
页: 1 [2] 3 4 5
查看完整版本: Titlebook: Algebraic Geometry; An Introduction Daniel Perrin Textbook 2008 Springer-Verlag London 2008 Algebra.Arithmetic.Riemann-Roch theorem.algebra