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- Title
Degree-2 Abel Maps for Nodal Curves.
- Authors
Coelho, J.; Esteve, E.; Pacini, M.
- Abstract
We present numerical conditions for the existence of natural degree-2 Abel maps for any given nodal curve. These conditions depend only on the dual graph of the curve. CoCoA scripts were implemented to check these conditions and to return resolutions of the rational degree-2 Abel maps of the curve by means of blowups along Weil divisors. So far, the scripts have verified the validity of the conditions for numerous curves.
- Subjects
NODAL analysis; CURVES; FREE resolutions (Algebra); NUMERICAL analysis; PARAMETRIC equations; MATHEMATICAL models
- Publication
IMRN: International Mathematics Research Notices, 2016, Vol 2016, Issue 10, p2912
- ISSN
1073-7928
- Publication type
Article
- DOI
10.1093/imrn/rnv217