Algebraic geometry;
Toric geometry;
Lattice polygons;
Families of curves;
Surfaces;
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摘要:
First we solve the problem of finding minimal degree families on toric surfaces by reducing it to lattice geometry. Then we describe how to find minimal degree families on, more generally, rational complex projective surfaces.
机构:
Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, ItalyUniv Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy
Flamini, Flaminio
Knutsen, Andreas Leopold
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机构:
Univ Bergen, Dept Math, N-5008 Bergen, NorwayUniv Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy
Knutsen, Andreas Leopold
Pacienza, Gianluca
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机构:
Univ Strasbourg, Inst Rech Math Avancee, F-67084 Strasbourg, France
CNRS, F-67084 Strasbourg, FranceUniv Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy