| LDR | | 00000nam u2200205 4500 |
| 001 | | 000000433766 |
| 005 | | 20200226102848 |
| 008 | | 200131s2019 ||||||||||||||||| ||eng d |
| 020 | |
▼a 9781392541135 |
| 035 | |
▼a (MiAaPQ)AAI22588595 |
| 040 | |
▼a MiAaPQ
▼c MiAaPQ
▼d 247004 |
| 082 | 0 |
▼a 510 |
| 100 | 1 |
▼a Zhang, Jianru. |
| 245 | 10 |
▼a Moduli of Certain Wild Covers of Curves. |
| 260 | |
▼a [S.l.]:
▼b University of Pennsylvania.,
▼c 2019. |
| 260 | 1 |
▼a Ann Arbor:
▼b ProQuest Dissertations & Theses,
▼c 2019. |
| 300 | |
▼a 98 p. |
| 500 | |
▼a Source: Dissertations Abstracts International, Volume: 81-06, Section: B. |
| 500 | |
▼a Advisor: Harbater, David. |
| 502 | 1 |
▼a Thesis (Ph.D.)--University of Pennsylvania, 2019. |
| 506 | |
▼a This item must not be sold to any third party vendors. |
| 506 | |
▼a This item must not be added to any third party search indexes. |
| 520 | |
▼a 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 $\\mathbb{P}. |
| 520 | |
▼a 1-\\{0\\}$ 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. |
| 590 | |
▼a School code: 0175. |
| 650 | 4 |
▼a Mathematics. |
| 690 | |
▼a 0405 |
| 710 | 20 |
▼a University of Pennsylvania.
▼b Mathematics. |
| 773 | 0 |
▼t Dissertations Abstracts International
▼g 81-06B. |
| 773 | |
▼t Dissertation Abstract International |
| 790 | |
▼a 0175 |
| 791 | |
▼a Ph.D. |
| 792 | |
▼a 2019 |
| 793 | |
▼a English |
| 856 | 40 |
▼u http://www.riss.kr/pdu/ddodLink.do?id=T15493106
▼n KERIS
▼z 이 자료의 원문은 한국교육학술정보원에서 제공합니다. |
| 980 | |
▼a 202002
▼f 2020 |
| 990 | |
▼a ***1008102 |
| 991 | |
▼a E-BOOK |