Timeline for calculating the genus of a curve using the Newton polygon
Current License: CC BY-SA 2.5
6 events
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| Jul 25, 2019 at 13:41 | comment | added | Bjorn Poonen | Thank you for this. It seems that Beck and Schicho, at the end of the proof of their Proposition 9, are just quoting the result from page 91 of Fulton, Introduction to toric varieties, so perhaps Fulton's book is the best reference. I haven't checked all the hypotheses, but I think Fulton's proof, which is partly based on work of Danilov, does prove the general result. | |
| Jul 24, 2019 at 12:25 | comment | added | François Brunault | Here is a reference for the genus formula you mention at the end: T. Beck, J. Schicho, Parametrization of algebraic curves defined by sparse equations, Appl. Algebra Engrg. Comm. Comput. 18 (2007), no. 1-2, 127-150. | |
| Feb 27, 2010 at 16:36 | history | edited | Bjorn Poonen | CC BY-SA 2.5 |
Corrected a typo, replaced "nondegeneracy" to "genericity" (which is closer to what I meant)
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| Feb 27, 2010 at 16:20 | comment | added | Bjorn Poonen | I learned of these references from Dan Bernstein, Fernando Rodriguez Villegas, and John Voight. | |
| Feb 27, 2010 at 16:20 | vote | accept | CommunityBot | moved from User.Id=19475 by developer User.Id=69903 | |
| Feb 27, 2010 at 16:16 | history | answered | Bjorn Poonen | CC BY-SA 2.5 |