Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

ULRICH BUNDLES ON CUBIC FOURFOLDS

Abstract : We show the existence of rank 6 Ulrich bundles on a smooth cubic fourfold. First, we construct a simple sheaf E of rank 6 as an elementary modification of an ACM bundle of rank 6 on a smooth cubic fourfold. Such an E appears as an extension of two Lehn-Lehn-Sorger-van Straten sheaves. Then we prove that a general deformation of E(1) becomes Ulrich. In particular, this says that general cubic fourfolds have Ulrich complexity 6.
Document type :
Preprints, Working Papers, ...
Complete list of metadata

https://hal.archives-ouvertes.fr/hal-03023101
Contributor : Daniele FAENZI Connect in order to contact the contributor
Submitted on : Wednesday, November 25, 2020 - 5:29:19 PM
Last modification on : Thursday, August 4, 2022 - 5:08:06 PM

Files

Rank6UlrichOnCubic.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-03023101, version 2
  • ARXIV : 2011.12622

Citation

Daniele Faenzi, Yeongrak Kim. ULRICH BUNDLES ON CUBIC FOURFOLDS. 2020. ⟨hal-03023101v2⟩

Share

Metrics

Record views

19

Files downloads

61