The locus of reduced bad zero-schemes, \frak{B}_0 \subset X^{[b_0]}, for a linear system |V| on a nonsingular, n-dimensional, algebraic variety X is defined. The pairs (X,V) for which \frak{B}_0 has the maximal dimension, nb_0-1, are characterized. For n=2, the non reduced bad zero-schemes are also discussed.
The variety of bad zero-schemes / G.M. Besana, S. Di Rocco, A. Lanteri. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - 216:6(2012 Jun), pp. 1273-1281. [10.1016/j.jpaa.2011.12.008]
The variety of bad zero-schemes
A. LanteriUltimo
2012
Abstract
The locus of reduced bad zero-schemes, \frak{B}_0 \subset X^{[b_0]}, for a linear system |V| on a nonsingular, n-dimensional, algebraic variety X is defined. The pairs (X,V) for which \frak{B}_0 has the maximal dimension, nb_0-1, are characterized. For n=2, the non reduced bad zero-schemes are also discussed.
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