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Moduli of Certain Wild Covers of Curves
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| 자료유형 | 학위논문 |
|---|---|
| 서명/저자사항 | Moduli of Certain Wild Covers of Curves. |
| 개인저자 | Zhang, Jianru. |
| 단체저자명 | University of Pennsylvania. Mathematics. |
| 발행사항 | [S.l.]: University of Pennsylvania., 2019. |
| 발행사항 | Ann Arbor: ProQuest Dissertations & Theses, 2019. |
| 형태사항 | 98 p. |
| 기본자료 저록 | Dissertations Abstracts International 81-06B. Dissertation Abstract International |
| ISBN | 9781392541135 |
| 학위논문주기 | Thesis (Ph.D.)--University of Pennsylvania, 2019. |
| 일반주기 |
Source: Dissertations Abstracts International, Volume: 81-06, Section: B.
Advisor: Harbater, David. |
| 이용제한사항 | This item must not be sold to any third party vendors.This item must not be added to any third party search indexes. |
| 요약 | A fine moduli space (see Chapter~\\ref{secn&t} Definition~\\ref{finemdli}) is constructed, for cyclic-by-$\\mathsf{p}$ covers of an affine curve over an algebraically closed field $k$ of characteristic $\\mathsf{p}>0$. An intersection (see Definition~\\ref{M}) of finitely many fine moduli spaces for cyclic-by-$\\mathsf{p}$ covers of affine curves gives a moduli space for $\\mathsf{p}'$-by-$\\mathsf{p}$ covers of an affine curve. A local moduli space is also constructed, for cyclic-by-$\\mathsf{p}$ covers of $Spec(k((x)))$, which is the same as the global moduli space for cyclic-by-$\\mathsf{p}$ covers of $\\mathbb{P}. |
| 요약 | 1-\\{0\\}$ tamely ramified over $\\infty$ with the same Galois group. Then it is shown that a restriction morphism (see Lemma~\\ref{res mor-2}) is finite with degrees on connected components $\extsf{p}$ powers: There are finitely many deleted points (see Figure 1) of an affine curve from its smooth completion. A cyclic-by-$\\mathsf{p}$ cover of an affine curve gives a product of local covers with the same Galois group, of the punctured infinitesimal neighbourhoods of the deleted points. So there is a restriction morphism from the global moduli space to a product of local moduli spaces. |
| 일반주제명 | Mathematics. |
| 언어 | 영어 |
| 바로가기 | 
: 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
