Please use this identifier to cite or link to this item: http://hdl.handle.net/10077/10638
 Title: Resolution of the ideal sheaf of a generic union of conics in P3:I Authors: Rahavandrainy, Olivier Keywords: Projective space; scheme; sheaf; minimal free resolution Issue Date: 23-Dec-2014 Series/Report no.: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics46 (2014) Abstract: We work over an algebraically closed field K of characteristiczero. Let Y be the generic union of $r \geq 2$ skew conics in$P^3_K$, $I_Y$ its ideal sheaf and v the least integersuch that $h^0(I_Y(v)) > 0$. We first establish a conjecture (concerning a maximal rank problem) which allows to compute, by a standard method, the minimal free resolution of $I_Y$ if $r\geq 5$ and$\displaystyle{\frac{v(v+2)(v+3)}{12v+2}\frac{(v+1)(v+2)(v+3)}{12v+6}}$. At the second time, we give the first part of the proof of that conjecture. Description: Olivier Rahavandrainy, "Resolution of the ideal sheaf of a generic union of conics in P3:I", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 46 (2014), pp.203-229 Type: Article URI: http://hdl.handle.net/10077/10638 ISSN: 0049-4704 Appears in Collections: Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics vol.46 (2014)

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