Rank 3 ACM bundles on general hypersurfaces in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">P</mml:mi></mml:mrow><mml:mrow><mml:mn>5</mml:mn></mml:mrow></mml:msup></mml:math>

Ravindra, G. V.; Tripathi, Amit

doi:10.1016/j.aim.2019.106780

Cited by 6 publications

(2 citation statements)

References 13 publications

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“…There are many papers on ACM bundles over surfaces since two is the lowest non-trivial dimension of the varieties for ACM bundles (for example, see [1] , [5] , [7] , [9] , [21] , [22] ). There has also been work on ACM bundles on particular higher dimensional varieties such as Fano 3-folds ( [2] , [6] ), Calabi-Yau 3-folds ( [10] ) and hypesurfaces ( [19] ). Recently, Costa and Miró-Roig used the Bott-Borel-Weil theorem to classify the irreducible homogeneous ACM bundles on Grassmannians ( [8] ), i.e.…”

Section: Introductionmentioning

confidence: 99%

Homogeneous ACM bundles on isotropic Grassmannians

Du¹,

Fang²,

Ren³

2022

Preprint

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In this paper, we characterize homogeneous arithmetically Cohen-Macaulay (ACM) bundles over isotropic Grassmannians of types B, C and D in term of step matrices. We show that there are only finitely many irreducible homogeneous ACM bundles by twisting line bundles over these isotropic Grassmannians. So we classify all homogeneous ACM bundles over isotropic Grassmannians combining the results on usual Grassmannians by Costa and Miró-Roig. Moreover, if the irreducible initialized homogeneous ACM bundles correspond to some special highest weights, then they can be characterized by succinct forms.

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Section: Introductionmentioning

confidence: 99%

Homogeneous ACM bundles on isotropic Grassmannians

Du¹,

Fang²,

Ren³

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Despite a wide literature on matrix factorizations since, there has been limited progress on this conjecture. Perhaps most notable is the work of Ravindra and Tripathi, who have proven the conjecture for homogeneous polynomials when e(f ) ≤ 2 [RT19]; see also [MKRR07a,MKRR07b,RT18,RT]. Conjecture 1.1 is related to the Buchsbaum-Eisenbud-Horrocks Conjecture on minimal free resolutions (see [BE77,p.…”

Section: Introductionmentioning

confidence: 99%