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  4. Rendiconti dell’Istituto di Matematica dell’Università di Trieste: an International Journal of Mathematics
  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.46 (2014)
  6. Resolution of the ideal sheaf of a generic union of conics in P3:I
 
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Resolution of the ideal sheaf of a generic union of conics in P3:I

Rahavandrainy, Olivier
2014-12-23
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ISSN
0049-4704
http://hdl.handle.net/10077/10638
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Abstract
We work over an algebraically closed field K of characteristic zero. 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 integer such 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}
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
46 (2014)
Subjects
  • Projective space

  • scheme

  • sheaf

  • minimal free resoluti...

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