Globally generated vector bundles with small c1 on projective spaces /
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| Author / Creator: | Anghel, Cristian, 1966- author. |
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| Imprint: | Providence, RI : American Mathematical Society, [2018] ©2018 |
| Description: | v, 107 pages ; illustrations ; 26 cm |
| Language: | English |
| Series: | Memoirs of the American Mathematical Society, 1947-6221 ; volume 253, number 1209 Memoirs of the American Mathematical Society ; volume 253, number 1209. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11606357 |
| Summary: | The authors provide a complete classification of globally generated vector bundles with first Chern class $c_1 \leq 5$ one the projective plane and with $c_1 \leq 4$ on the projective $n$-space for $n \geq 3$. This reproves and extends, in a systematic manner, previous results obtained for $c_1 \leq 2$ by Sierra and Ugaglia [J. Pure Appl. Algebra 213 (2009), 2141-2146], and for $c_1 = 3$ by Anghel and Manolache [Math. Nachr. 286 (2013), 1407-1423] and, independently, by Sierra and Ugaglia [J. Pure Appl. Algebra 218 (2014), 174-180]. It turns out that the case $c_1 = 4$ is much more involved than the previous cases, especially on the projective 3-space. Among the bundles appearing in our classification one can find the Sasakura rank 3 vector bundle on the projective 4-space (conveniently twisted). The authors also propose a conjecture concerning the classification of globally generated vector bundles with $c_1 \leq n - 1$ on the projective $n$-space. They verify the conjecture for $n \leq 5$. |
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| Physical Description: | v, 107 pages ; illustrations ; 26 cm |
| Bibliography: | Includes bibliographical references (pages 105-107). |
| ISBN: | 9781470428389 1470428385 |
| ISSN: | 1947-6221 ; |
