A tropical proof of the Brill-Noether Theorem

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• 作者：Filip Cools^a ; ^{filip.cools@wis.kuleuven.be} ; Jan Draisma^b ; ^{j.draisma@tue.nl} ; Sam Payne^c ; ^{sam.payne@yale.edu} ; Elina Robeva^d ; ^{erobeva@stanford.edu}
• 关键词：Tropical geometry ; Brill&ndash ; Noether theory
• 刊名：Advances in Mathematics
• 出版年：2012
• 出版时间：1 June, 2012
• 年：2012
• 卷：230
• 期：2
• 页码：759-776
• 全文大小：217 K

文摘

We produce Brill-Noether general graphs in every genus, confirming a conjecture of Baker and giving a new proof of the Brill-Noether Theorem, due to Griffiths and Harris, over any algebraically closed field.