Ulrich bundles on cubic fourfolds

نویسندگان

چکیده

We show the existence of rank 6 Ulrich bundles on a smooth cubic fourfold. First, we construct simple sheaf $\mathcal E$ as an elementary modification ACM bundle Such appears extension two Lehn–Lehn–Sorger–van Straten sheaves. Then prove that general deformation E(1)$ becomes Ulrich. In particular, this says fourfolds have complexity 6.

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ژورنال

عنوان ژورنال: Commentarii Mathematici Helvetici

سال: 2022

ISSN: ['0010-2571', '1420-8946']

DOI: https://doi.org/10.4171/cmh/546