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S Mar 30 at 9:28 history suggested Alexander Golys CC BY-SA 4.0
added missing bracket
Mar 30 at 2:37 review Suggested edits
S Mar 30 at 9:28
Feb 19, 2010 at 17:06 comment added IMeasy yeah, very good. I just missed that point. I just supposed it was singular... this simplifies everything and I agree with the rest of your writing. Thank you, that was of great help!
Feb 19, 2010 at 15:48 comment added Andrea Ferretti No, I'm actually using that it is smooth along l. Indeed I am using the Gauss map to make the computations. This is not in contrast with the assumption that it contains a double line, if this is what you have in mind (for instance a plane contains a double line). By degree here I am meaning the degree of the divisor giving the map, which is the product of the topological degree of the map and the degree of the image. In this case saying it is three just means the map is given by polynomials of degree 3. Sorry for not being precise about this.
Feb 19, 2010 at 15:19 comment added IMeasy Thank you for your answer! Let us make clear a few points: when you say "I assume $X$ smooth" you mean smooth out of $l$ I suppose. Then what do you mean by "degree" of a map? I agree that the restriction of the gauss map is given by cubics but if it is 1:1 then the degree is 1.
Feb 19, 2010 at 11:33 history answered Andrea Ferretti CC BY-SA 2.5