Scheme-theoretic generation for ideals generated by forms of the same degree: a nice formula |
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| Authors: | Antonio Polo Walter Spangher |
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| Affiliation: | 1. Department of Mathematics , Università di Bologna , Bologna, 1-40126, Italy E-mail: polo@dm.unibo.it;2. Dipartimento di Scienze Matematiche , Università di Trieste , Trieste, 1-34100, Italy E-mail: spangher@univ.trieste.it |
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| Abstract: | Given a homogeneous ideal I?K[n 0,…,n n] (k an infinite field) and supposing that I is generated by forms of the same degree, we prove a formula to compute the minimal number σ (I) of the scheme-theoretic generations of I. |
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