On the Freeness of Rational Cuspidal Plane Curves
نویسندگان
چکیده
منابع مشابه
Rational Cuspidal Curves
It is the product of my playing with beautiful geometric objects called rational cuspidal curves over the past two years. I would like to thank everyone who has contributed to this thesis. I owe so much to everyone who has ever taught me mathematics. Thank you for inspiring me and for providing me with the skills necessary to complete this thesis. To my friends and fellow students at Abel, than...
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متن کاملRational torsion in elliptic curves and the cuspidal subgroup
Let A be an elliptic curve over Q of square free conductor N . Suppose A has a rational torsion point of prime order r such that r does not divide 6N . We prove that then r divides the order of the cuspidal subgroup C of J0(N). If A is optimal, then viewing A as an abelian subvariety of J0(N), our proof shows more precisely that r divides the order of A ∩ C. Also, under the hypotheses above, we...
متن کاملRational torsion in optimal elliptic curves and the cuspidal subgroup
LetN be a square free integer, and let A be an optimal elliptic curve over Q of conductor N . We prove that if A has a rational torsion point of prime order r such that r does not divide 6N , then r divides the order of the cuspidal subgroup of J0(N).
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ژورنال
عنوان ژورنال: Moscow Mathematical Journal
سال: 2018
ISSN: 1609-4514
DOI: 10.17323/1609-4514-2018-18-4-659-666