Birational geometry of moduli spaces of pointed curves:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
[2020?]
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Inhaltsverzeichnis |
| Beschreibung: | 59 Seiten |
Internformat
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| 245 | 1 | 0 | |a Birational geometry of moduli spaces of pointed curves |c von: Irene Schwarz |
| 264 | 1 | |a Berlin |c [2020?] | |
| 300 | |a 59 Seiten | ||
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| 502 | |b Dissertation |c Humboldt-Universität zu Berlin |d 2020 | ||
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Datensatz im Suchindex
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|---|---|
| adam_text | CONTENTS
INTRODUCTION
2
1
PRELIMINARIES
7
1.1
MODULI
SPACES
......................................................................................................................................
7
1.2
THE
KODAIRA
DIMENSION
.....................................................................................................................
10
1.3
SINGULARITIES
OF
MODULI
SPACES
..........................................................................................................
13
1.4
BIRATIONAL
GEOMETRY
OF
M
HN
.............................................................................................................
15
1.5
PICARD
GROUP
OF
M
G
,
N
........................................................................................................................
16
1.6
EFFECTIVE
DIVISORS
ON
M
GN
................................................................................................................
18
2
ON
THE
KODAIRA
DIMENSION
OF
THE
MODULI
SPACE
OF
NODAL
CURVES
23
2.1
INTRODUCTION
.........................................................................................................................................
23
2.2
PROOF
OF
THEOREM
2.1.2
.....................................................................................................................
26
2.3
MODULI
SPACES
OF
NODAL
CURVES
..........................................................................................................
27
2.4
EFFECTIVE
G-INVARIANT
DIVISORS
ON
M
G
.2
N
...........................................................................................
28
2.5
STANDARD
CASES
IN
THE
PROOF
OF
THEOREM
2.1.1:
REDUCTION
TO
A
SYSTEM
OF
INEQUALITIES
..............
30
2.6
PROOF
OF
THEOREM
2.1.1:
SPECIAL
COMPUTATIONS
................................................................................
34
3
ON
QUOTIENTS
OF
M
G
,
N
BY
CERTAIN
SUBGROUPS
OF
S
N
36
3.1
INTRODUCTION
.........................................................................................................................................
36
3.2
PRELIMINARIES
AND
NOTATION
................................................................................................................
40
3.3
DIVISORS
..............................................................................................................................................
41
3.4
PROOF
OF
THEOREM
3.1.5
.....................................................................................................................
42
4
THE
MODULI
SPACE
OF
HYPERELLIPTIC
CURVES
WITH
MARKED
POINTS
45
4.1
INTRODUCTION
.........................................................................................................................................
45
4.2
PRELIMINARIES
......................................................................................................................................
46
4.3
THE
LOCUS
OF
POINTED
HYPERELLIPTIC
CURVES
.........................................................................................
49
4.4
SINGULARITIES
OF
...........................................................................................................................
51
4.5
EFFECTIVE
DIVISORS
.................................................................................................................................
54
4.6
PROOF
OF
THEOREM
4.1.1
.....................................................................................................................
54
|
| adam_txt |
CONTENTS
INTRODUCTION
2
1
PRELIMINARIES
7
1.1
MODULI
SPACES
.
7
1.2
THE
KODAIRA
DIMENSION
.
10
1.3
SINGULARITIES
OF
MODULI
SPACES
.
13
1.4
BIRATIONAL
GEOMETRY
OF
M
HN
.
15
1.5
PICARD
GROUP
OF
M
G
,
N
.
16
1.6
EFFECTIVE
DIVISORS
ON
M
GN
.
18
2
ON
THE
KODAIRA
DIMENSION
OF
THE
MODULI
SPACE
OF
NODAL
CURVES
23
2.1
INTRODUCTION
.
23
2.2
PROOF
OF
THEOREM
2.1.2
.
26
2.3
MODULI
SPACES
OF
NODAL
CURVES
.
27
2.4
EFFECTIVE
G-INVARIANT
DIVISORS
ON
M
G
.2
N
.
28
2.5
STANDARD
CASES
IN
THE
PROOF
OF
THEOREM
2.1.1:
REDUCTION
TO
A
SYSTEM
OF
INEQUALITIES
.
30
2.6
PROOF
OF
THEOREM
2.1.1:
SPECIAL
COMPUTATIONS
.
34
3
ON
QUOTIENTS
OF
M
G
,
N
BY
CERTAIN
SUBGROUPS
OF
S
N
36
3.1
INTRODUCTION
.
36
3.2
PRELIMINARIES
AND
NOTATION
.
40
3.3
DIVISORS
.
41
3.4
PROOF
OF
THEOREM
3.1.5
.
42
4
THE
MODULI
SPACE
OF
HYPERELLIPTIC
CURVES
WITH
MARKED
POINTS
45
4.1
INTRODUCTION
.
45
4.2
PRELIMINARIES
.
46
4.3
THE
LOCUS
OF
POINTED
HYPERELLIPTIC
CURVES
.
49
4.4
SINGULARITIES
OF
.
51
4.5
EFFECTIVE
DIVISORS
.
54
4.6
PROOF
OF
THEOREM
4.1.1
.
54 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Schwarz, Irene |
| author_GND | (DE-588)1235410536 |
| author_facet | Schwarz, Irene |
| author_role | aut |
| author_sort | Schwarz, Irene |
| author_variant | i s is |
| building | Verbundindex |
| bvnumber | BV047324687 |
| classification_rvk | SK 230 |
| ctrlnum | (OCoLC)1244236561 (DE-599)DNB1225888859 |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Thesis Book |
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| indexdate | 2024-07-10T09:08:56Z |
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| spelling | Schwarz, Irene Verfasser (DE-588)1235410536 aut Birational geometry of moduli spaces of pointed curves von: Irene Schwarz Berlin [2020?] 59 Seiten txt rdacontent n rdamedia nc rdacarrier Dissertation Humboldt-Universität zu Berlin 2020 (DE-588)4113937-9 Hochschulschrift gnd-content B:DE-101 application/pdf https://d-nb.info/1225888859/04 Inhaltsverzeichnis DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032727349&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Schwarz, Irene Birational geometry of moduli spaces of pointed curves |
| subject_GND | (DE-588)4113937-9 |
| title | Birational geometry of moduli spaces of pointed curves |
| title_auth | Birational geometry of moduli spaces of pointed curves |
| title_exact_search | Birational geometry of moduli spaces of pointed curves |
| title_exact_search_txtP | Birational geometry of moduli spaces of pointed curves |
| title_full | Birational geometry of moduli spaces of pointed curves von: Irene Schwarz |
| title_fullStr | Birational geometry of moduli spaces of pointed curves von: Irene Schwarz |
| title_full_unstemmed | Birational geometry of moduli spaces of pointed curves von: Irene Schwarz |
| title_short | Birational geometry of moduli spaces of pointed curves |
| title_sort | birational geometry of moduli spaces of pointed curves |
| topic_facet | Hochschulschrift |
| url | https://d-nb.info/1225888859/04 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032727349&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT schwarzirene birationalgeometryofmodulispacesofpointedcurves |
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