Sheaves of Phi-Principal Parts
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Authors
Smirnov, Ilia
Date
Type
thesis
Language
eng
Keyword
Mathematics , Algebraic Geometry , Enumerative Geometry
Alternative Title
Abstract
This thesis studies sheaves of phi-principal parts, a modification of the well-known sequence of sheaves of principal parts. In Chapter 1, we construct the sheaves of phi-principal-parts, and undertake their general study. Then, in Chapter 2, we apply these sheaves to the problem of counting how many Weierstrass points (counted according to their Weierstrass weight) are absorbed into a singularity in a curve degeneration, and, in Chapter 3, we apply these sheaves to the problem of counting lines in a linear system in a Grassmannian.
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Attribution 3.0 United States
Queen's University's Thesis/Dissertation Non-Exclusive License for Deposit to QSpace and Library and Archives Canada
ProQuest PhD and Master's Theses International Dissemination Agreement
Intellectual Property Guidelines at Queen's University
Copying and Preserving Your Thesis
This publication is made available by the authority of the copyright owner solely for the purpose of private study and research and may not be copied or reproduced except as permitted by the copyright laws without written authority from the copyright owner.
Queen's University's Thesis/Dissertation Non-Exclusive License for Deposit to QSpace and Library and Archives Canada
ProQuest PhD and Master's Theses International Dissemination Agreement
Intellectual Property Guidelines at Queen's University
Copying and Preserving Your Thesis
This publication is made available by the authority of the copyright owner solely for the purpose of private study and research and may not be copied or reproduced except as permitted by the copyright laws without written authority from the copyright owner.