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RISS 인기검색어
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- 저자 : Carlo G. Madonna (검색결과 2 건)
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CURVES AND VECTOR BUNDLES ON QUARTIC THREEFOLDS
Arrondo, Enrique,Madonna, Carlo G. Korean Mathematical Society 2009 대한수학회지 Vol.46 No.3
In this paper we study arithmetically Cohen-Macaulay (ACM for short) vector bundles $\varepsilon$ of rank k $\geq$ 3 on hypersurfaces $X_r\;{\subset}\;{\mathbb{P}}^4$ of degree r $\geq$ 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 $\varepsilon$ 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.
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Curves and vector bundles on quartic threefolds
Enrique Arrondo,Carlo G. Madonna 대한수학회 2009 대한수학회지 Vol.46 No.3
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. 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.
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