#14218: height and canonical height for projective points and morphisms
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Reporter: bhutz | Owner: bhutz
Type: enhancement | Status:
Priority: major | needs_work
Component: algebraic geometry | Milestone: sage-5.13
Keywords: height, canonical, | Resolution:
projective, dynamics | Merged in:
Authors: Ben Hutz | Reviewers: Joao
Report Upstream: N/A | Alberto de Faria
Branch: | Work issues:
Dependencies: | Commit:
| Stopgaps:
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Changes (by atowsley):
* status: needs_review => needs_work
Comment:
When computing the height of the constant 0 in a function field
global_height gives and error. Every other constant seems fine.
R.<x> = PolynomialRing(QQ)
A.<x> = AffineSpace(QQ,1)
H=Hom(A,A)
f=H([0])
f.global_height()
returns
Traceback (most recent call last):
File "<stdin>", line 1, in <module>
File "_sage_input_100.py", line 10, in <module>
exec compile(u'open("___code___.py","w").write("# -*- coding: utf-8
-*-\\n" +
_support_.preparse_worksheet_cell(base64.b64decode("Ui48eD4gPSBQb2x5bm9taWFsUmluZyhRUSkKQS48eD4gPSBBZmZpbmVTcGFjZShRUSwxKQpIPUhvbShBLEEpCmY9SChbMF0pCmYuZ2xvYmFsX2hlaWdodCgp"),globals())+"\\n");
execfile(os.path.abspath("___code___.py"))
File "", line 1, in <module>
File "/tmp/tmpYiF_cn/___code___.py", line 7, in <module>
exec compile(u'f.global_height()
File "", line 1, in <module>
File "/home/atowsley/sage-5.12.rc0/local/lib/python2.7/site-
packages/sage/schemes/affine/affine_morphism.py", line 542, in
global_height
h=max([c.global_height(prec) for c in C])
ValueError: max() arg is an empty sequence
--
Ticket URL: <http://trac.sagemath.org/ticket/14218#comment:13>
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