Factorization of Generalized Theta Functions Revisited
Factorization of Generalized Theta Functions Revisited作者机构：Center of Applied Mathematics Tianjin University Tianjin 300072 China
出 版 物：《Algebra Colloquium》 (代数集刊（英文版）)
年 卷 期：2017年第24卷第1期
页 面：1-52页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金：Supported in part by the National Natural Science Foundation of China (No. 11321101)
主 题：moduli spaces parabolic sheaves degeneration
摘 要：This survey is based on my lectures given in the last few years. As a reference, constructions of moduli spaces of parabolic sheaves and generalized parabolic sheaves are provided. By a refinement of the proof of vanishing theorems, we show, without using vanishing theorems, a new observation that dim H0（Uc, θuc） is independent of all of the choices for any smooth curves. The estimate of various codimensions and computation of canonical line bundle of moduli space of generalized parabolic sheaves on a reducible curve are provided in Section 6, which is completely new.
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