Special Fano manifolds as ample divisors

<p style="font-style: normal;"><span>Let </span><em><span>A</span></em><span> be a projective manifold of dimension </span><em><span>n</span></em><span> at least</span><em><span> </span...

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Main Author: Cristiana Sacchi
Format: Article
Language:English
Published: Università degli Studi di Catania 1993-11-01
Series:Le Matematiche
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/568
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author Cristiana Sacchi
author_facet Cristiana Sacchi
author_sort Cristiana Sacchi
collection DOAJ
description <p style="font-style: normal;"><span>Let </span><em><span>A</span></em><span> be a projective manifold of dimension </span><em><span>n</span></em><span> at least</span><em><span> </span></em><span>3 contained as an ample divisor in a projective manifold </span><em><span>X</span></em><span> and let </span><em><span>L=O</span></em><sub><em><span>X</span></em></sub><em><span>(A)</span></em><span>. In this paper we study the pairs </span><em><span>(X,L)</span></em><span> in the following two cases:</span></p> <p style="font-style: normal;"><span>        i)</span><em><span> A</span></em><span> a Fano manifold of coindex 3 and Picard number 1;</span></p> <ol type="i"><li><p style="font-style: normal;"><em><span>A</span></em><span> a Fano manifold of product type.</span></p> </li></ol>
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spelling doaj.art-a3eb8d9a36494311b60d2be79e08ece22022-12-22T01:07:35ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52981993-11-01482359365535Special Fano manifolds as ample divisorsCristiana Sacchi<p style="font-style: normal;"><span>Let </span><em><span>A</span></em><span> be a projective manifold of dimension </span><em><span>n</span></em><span> at least</span><em><span> </span></em><span>3 contained as an ample divisor in a projective manifold </span><em><span>X</span></em><span> and let </span><em><span>L=O</span></em><sub><em><span>X</span></em></sub><em><span>(A)</span></em><span>. In this paper we study the pairs </span><em><span>(X,L)</span></em><span> in the following two cases:</span></p> <p style="font-style: normal;"><span>        i)</span><em><span> A</span></em><span> a Fano manifold of coindex 3 and Picard number 1;</span></p> <ol type="i"><li><p style="font-style: normal;"><em><span>A</span></em><span> a Fano manifold of product type.</span></p> </li></ol>http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/568
spellingShingle Cristiana Sacchi
Special Fano manifolds as ample divisors
Le Matematiche
title Special Fano manifolds as ample divisors
title_full Special Fano manifolds as ample divisors
title_fullStr Special Fano manifolds as ample divisors
title_full_unstemmed Special Fano manifolds as ample divisors
title_short Special Fano manifolds as ample divisors
title_sort special fano manifolds as ample divisors
url http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/568
work_keys_str_mv AT cristianasacchi specialfanomanifoldsasampledivisors