This paper provides a new construction of a supply of Darmon-like points on elliptic curves E defined over a quadratic extension of totally real number fields.
Qing LuSchool of Mathematical Sciences, Beijing Normal UniversityWeizhe ZhengMorningside Center of Mathematics and Hua Loo-Keng Key Laboratory of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences
Arithmetic Geometry and Commutative Algebramathscidoc:1904.07001
Baclawski K. Whitney numbers of geometric lattices[J]. Advances in Mathematics, 1975, 16(2): 125-138.
2
Baclawski K. Galois connections and the leray spectral sequence[J]. Advances in Mathematics, 1977, 25(3): 191-215.
3
Marilena Barnabei · A Brini · Giancarlo Rota. The theory of Möbius functions. 1986.
4
Giancarlo Rota · Jon Folkman · Richard P Stanley · R P Dilworth · Curtis Greene · Thomas A Dowling · Richard M Wilson. Enumeration in geometric lattices. 1986.
Harris J, Mumford D. On the Kodaira Dimension of the Moduli Space of Curves[J]. Inventiones Mathematicae, 1982, 67(1): 171-234.
2
Eisenbud D, Harris J. Limit linear series: Basic theory[J]. Inventiones Mathematicae, 1986, 85(2): 337-371.
3
Frankolaf Schreyer · Fachbereich Mathematik Der Universit. Syzygies of Canonical Curves and Special Linear Series. 1986.
4
Harris J, Eisenbud D. Curves in projective space[C]., 1982.
5
Fulton W, Lazarsfeld R. On the connectedness of degeneracy loci and special divisors[J]. Acta Mathematica, 1981, 146(1): 271-283.
6
Harris J, Tu L W. On symmetric and skew-symmetric determinantal varieties[J]. Topology, 1984, 23(1): 71-84.
7
Enrico Arbarello · Maurizio Cornalba. Footnotes to a Paper of Beniamino Segre. 1981.
8
Arbarello E, Cornalba M. Footnotes to a paper of Beniamino Segre: The number ofg d 1 \u0027s on a generald-gonal curve, and the Unirationality of the Hurwitz spaces of 4-gonal and 5-gonal curves[J]. Mathematische Annalen, 1981, 256(3): 341-362.
9
Eisenbud D. The geometry of syzygies : a second course in commutative algebra and algebraic geometry[C]., 2005.
10
Bilu Y, Bordeaux U. EFFECTIVE ANALYSIS OF INTEGRAL POINTS ON ALGEBRAIC CURVES[J]. Israel Journal of Mathematics, 1995: 235-252.