After having investigated what decides the existence of an (irreducible or not) branch curve of a Campedelli double plane, we are able to construct one of them split in only two irreducible components: a (straight) line and a degree 9 curve. Concerning the resolution of an algebraic system of equations, with the most naif method for elimination, elementary results, that do not seem known, are proved and used
What decides the existence of a branch curve? (A new Campedelli branch curve C1+C9)
STAGNARO, EZIO
2010
Abstract
After having investigated what decides the existence of an (irreducible or not) branch curve of a Campedelli double plane, we are able to construct one of them split in only two irreducible components: a (straight) line and a degree 9 curve. Concerning the resolution of an algebraic system of equations, with the most naif method for elimination, elementary results, that do not seem known, are proved and usedFile in questo prodotto:
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