学位论文详细信息
Rota's Conjecture and Positivity of Algebraic Cycles in Permutohedral Varieties. | |
Algebraic Cycles;Positivity;Mathematics;Science;Mathematics | |
Huh, JuneFomin, Sergey ; | |
University of Michigan | |
关键词: Algebraic Cycles; Positivity; Mathematics; Science; Mathematics; | |
Others : https://deepblue.lib.umich.edu/bitstream/handle/2027.42/108901/junehuh_1.pdf?sequence=1&isAllowed=y | |
瑞士|英语 | |
来源: The Illinois Digital Environment for Access to Learning and Scholarship | |
【 摘 要 】
Rota;;s conjecture predicts that the coefficients of the characteristic polynomial of a matroid form a log-concave sequence. We give a proof of the conjecture for realizable matroids using techniques of algebraic geometry. The same approach to the conjecture in the general case (for possibly non-realizable matroids) leads to several intriguing questions on higher codimension algebraic cycles in the toric variety associated to the permutohedron.
【 预 览 】
Files | Size | Format | View |
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Rota's Conjecture and Positivity of Algebraic Cycles in Permutohedral Varieties. | 341KB | download |