The aim of this work is to contribute to the classification of projective varieties according to their representation type, providing examples of n-dimensional varieties of wild representation type, for arbitrary n 2. More precisely, we prove that all Fano blow-ups of Pn at a finite number of points are of wild representation type exhibiting families of dimension of order r2 of simple (hence, indecomposable) ACM rank r vector bundles for any r n. In the two dimensional case, the vector bundles that we construct are moreover Ulrich bundles and μ-stable with respect to certain ample divisor.
n-Dimensional Fano varieties of wild representation type / Miró-Roig, Rosa M.; Pons-Llopis, Juan Francisco. - In: JOURNAL OF PURE AND APPLIED ALGEBRA. - ISSN 0022-4049. - 218:10(2014), pp. 1867-1884. [10.1016/j.jpaa.2014.02.011]
Titolo: | n-Dimensional Fano varieties of wild representation type | |
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Data di pubblicazione: | 2014 | |
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Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.jpaa.2014.02.011 | |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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http://hdl.handle.net/11583/2859418