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Curves and vector bundles on quartic threefolds

Enrique Arrondo|Carlo G. Madonna
대한수학회 (The Korean Mathematical Society)|2009.05|대한수학회지 (Journal of the KMS)|제46권 제3호|pp. 589-607

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참고문헌

키워드

quartic threefoldACM bundleprojectively normal curve
주제분류수학

초록

In this paper we study arithmetically Cohen-Macaulay (ACM for short) vector bundles ε of rank ≥ 3 on hypersurfaces X_r ⊂P^4 of degree r≥1. We consider here mainly the case of degree r = 4, which is the first unknown case in literature. Under some natural conditions for the bundle ε we derive a list of possible Chern classes (c_1,c_2,c_3) which may arise in the cases of rank k=3 and k=4, when r=4 and we give several examples.

Abstract

In this paper we study arithmetically Cohen-Macaulay (ACM for short) vector bundles ε of rank ≥ 3 on hypersurfaces X_r ⊂P^4 of degree r≥1. We consider here mainly the case of degree r = 4, which is the first unknown case in literature. Under some natural conditions for the bundle ε we derive a list of possible Chern classes (c_1,c_2,c_3) which may arise in the cases of rank k=3 and k=4, when r=4 and we give several examples.

참고문헌 (23)

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