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feat: references for K-stability results
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pbelmans committed Jul 19, 2024
1 parent a3fdc46 commit 8042c0d
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Showing 3 changed files with 66 additions and 27 deletions.
6 changes: 6 additions & 0 deletions fanography/application.py
Original file line number Diff line number Diff line change
Expand Up @@ -192,6 +192,12 @@ def __init__(self, rho, ID, yaml):
3: "general member is K-{}stable",
4: "every member is K-{}stable"}

# TODO implement bibliography management...
self.Kref = [("the book", "https://mathscinet.ams.org/mathscinet/relay-station?mr=MR4590444")]
# they are all arXiv links for now
if "Kref" in yaml:
self.Kref = self.Kref + [(ref, "https://arxiv.org/abs/{}".format(ref)) for ref in yaml["Kref"]]

self.Kps = encoding[yaml["Kps"]].format("poly")
self.Kps_open = yaml["Kps"] == 3
self.Kss = encoding[yaml["Kss"]].format("semi")
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77 changes: 50 additions & 27 deletions fanography/data.yml
Original file line number Diff line number Diff line change
Expand Up @@ -388,7 +388,8 @@
unirational: "?"
blowdown: ["1-11"]

# https://arxiv.org/abs/2210.14770
Kref:
- "2210.14770"
Ks: 4
Kps: 4
Kss: 4
Expand All @@ -404,7 +405,8 @@

unirational: yes

# https://arxiv.org/abs/2210.14770
Kref:
- "2210.14770"
Ks: 4
Kps: 4
Kss: 4
Expand All @@ -421,7 +423,8 @@
unirational: yes
blowdown: ["1-12"]

# https://arxiv.org/abs/2210.14770
Kref:
- "2210.14770"
Ks: 4
Kps: 4
Kss: 4
Expand All @@ -440,7 +443,8 @@
rational: yes
blowdown: ["1-17"]

# https://arxiv.org/abs/2210.14770
Kref:
- "2210.14770"
Ks: 4
Kps: 4
Kss: 4
Expand All @@ -463,9 +467,11 @@
unirational: yes
blowdown: ["1-13"]

Ks: 3 # https://arxiv.org/abs/2210.14770
Kps: 3 # book
Kss: 3 # book
Kref:
- "2210.14770"
Ks: 3
Kps: 3
Kss: 3

period: 158, 34
method:
Expand All @@ -487,7 +493,8 @@

unirational: yes

# https://arxiv.org/abs/2210.14770
Kref:
- "2210.14770"
Ks: 4
Kps: 4
Kss: 4
Expand All @@ -512,7 +519,8 @@
rational: yes
blowdown: ["1-16"]

# https://arxiv.org/abs/2210.14770
Kref:
- "2210.14770"
Ks: 4
Kps: 4
Kss: 4
Expand All @@ -536,7 +544,8 @@

unirational: yes

# book, and https://arxiv.org/abs/2204.06709
Kref:
- "2204.06709"
Kps: 4
Kss: 4

Expand Down Expand Up @@ -625,7 +634,8 @@
rational: yes
blowdown: ["1-17"]

# https://arxiv.org/abs/2304.11334
Kref:
- "2304.11334"
Kps: 3
Kss: 3

Expand Down Expand Up @@ -693,8 +703,9 @@

rational: yes

# https://arxiv.org/abs/2403.16747
# https://arxiv.org/abs/2304.11420
Kref:
- "2403.16747"
- "2304.11420"
Kps: 4
Kss: 4

Expand Down Expand Up @@ -755,7 +766,8 @@

rational: yes

# https://arxiv.org/abs/2304.11334
Kref:
- "2304.11334"
Ks: 4
Kps: 4
Kss: 4
Expand Down Expand Up @@ -818,7 +830,8 @@
rational: yes
blowdown: ["1-16", "1-16"]

# https://arxiv.org/abs/2304.12295
Kref:
- "2304.12295"
Kps: 2
Kss: 3

Expand All @@ -845,9 +858,11 @@
rational: yes
blowdown: ["1-15", "1-17"]

Ks: 2 # https://arxiv.org/abs/2110.14762
Kps: 2 # book
Kss: 4 # book
Kref:
- "2110.14762"
Ks: 2
Kps: 2
Kss: 4

Aut: [["\\mathbb{G}_{\\mathrm{m}}", 0, 1]]

Expand Down Expand Up @@ -1258,9 +1273,11 @@
rational: yes
blowdown: ["2-34", "2-34"]

Ks: 4 # https://arxiv.org/abs/2206.08539
Kps: 4 # book
Kss: 4 # book
Kref:
- "2206.08539"
Ks: 4
Kps: 4
Kss: 4

period: 135, 31
method:
Expand All @@ -1280,7 +1297,8 @@
rational: yes
blowdown: ["2-18"]

# https://arxiv.org/abs/2304.11334
Kref:
- "2304.11334"
Ks: 4
Kps: 4
Kss: 4
Expand All @@ -1303,9 +1321,11 @@
rational: yes
blowdown: ["2-34"]

Ks: 2 # https://arxiv.org/abs/2403.09002
Kps: 2 # book
Kss: 3 # book
Kref:
- "2403.09002"
Ks: 2
Kps: 2
Kss: 3

Aut: [["\\mathbb{G}_{\\mathrm{m}}", 0, 1]]

Expand All @@ -1329,7 +1349,8 @@
rational: yes
blowdown: ["2-25", "2-33"]

# https://arxiv.org/abs/2401.02818
Kref:
- "2401.02818"
Ks: 3
Kps: 3
Kss: 3
Expand Down Expand Up @@ -1465,7 +1486,9 @@
rational: yes
blowdown: ["2-27", "2-33", "2-34"]

Kps: 2 # https://arxiv.org/abs/2210.14770
Kref:
- "2210.14770"
Kps: 2
Kss: 4

Aut: [["\\mathbb{G}_{\\mathrm{m}}", 0, 1]]
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10 changes: 10 additions & 0 deletions fanography/templates/table.kstability.html
Original file line number Diff line number Diff line change
Expand Up @@ -27,6 +27,8 @@
<th scope="col" class="text-center">K&#8209;polystability</th>

<th scope="col" class="text-center">K&#8209;semistability</th>

<th scope="col" class="text-center">references</th>
</tr>
</thead>
{% for rho in fanos %}
Expand Down Expand Up @@ -94,6 +96,14 @@
<td class="align-middle">
{{ fano["Kss"] }}
</td>

<td class="align-middle">
<ul>
{% for ref in fano["Kref"] %}
<li><a href="{{ ref[1] }}">{{ ref[0] }}</a>
{% endfor %}
</ul>
</td>
</tr>
{% endfor %}
</tbody>
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