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author = "Flynn, E."
<< < 4 5 6 7 8 > >>

Found 74 documents, displaying page 4 of 8

Nontrivial Sha in the Jacobian of an Infinite Family of Curves of Genus 2.

Author(s) : Arnth-Jensen, A. , Flynn, E. V.
Description : We give an infinite family of curves of genus 2 whose Jacobians have non-trivial members of the Tate-Shafarevich group for descent via Richelot isogeny. We prove this by performing a descent via Richelot isogeny and a complete 2-descent on the isogenous Jacobian. We also give an explicit model of an...
Repository : Oxford University Research Archive (ORA)
Language(s) : Undetermined

Finding rational points on bielliptic genus 2 curves

Author(s) : Flynn, E. V. , Wetherell, J. L.
Description : We discuss a technique for trying to find all rational points on curves of the form $Y^2 = f_3 X^6 + f_2 X^4 + f_1 X^2 + f_0$, where the sextic has nonzero discriminant. This is a bielliptic curve of genus 2. When the rank of the Jacobian is 0 or 1, Chabauty's Theorem may be applied. However, we sha...
Repository : Oxford University Research Archive (ORA)
Language(s) : Undetermined

Inferior rectus recession—an effective procedure?

Author(s) : Scotcher, S. , O'Flynn, E. , Morris, R.
Description : AIMS—To examine the postoperative stability of inferior rectus recession, with particular reference to the incidence of progressive overcorrection.
METHODS—The results of consecutive patients undergoing inferior rectus recession over a 3 year period were reviewed.
RESULTS—21 patients underwent infer...
Repository : Europe PubMed Central
Language(s) : English

On finiteness conjectures for endomorphism algebras of abelian surfaces

Author(s) : Bruin, Nils , Flynn, E. Victor , Gonzalez, Josep , Rotger, Victor
Description : It is conjectured that there exist finitely many isomorphism classes of simple endomorphism algebras of abelian varieties of GL_2-type over \Q of bounded dimension. We explore this conjecture when particularized to quaternion endomorphism algebras of abelian surfaces by giving a moduli interpretat...
Repository : arXiv
Language(s) : Undetermined

Cycles of Quadratic Polynomials and Rational Points on a Genus-Two Curve

Author(s) : Flynn, E. V. , Poonen, Bjorn , Schaefer, Edward F.
Description : It has been conjectured that for $N$ sufficiently large, there are no quadratic polynomials in $\bold Q[z]$ with rational periodic points of period $N$. Morton proved there were none with $N=4$, by showing that the genus~$2$ algebraic curve that classifies periodic points of period~4 is birational...
Repository : arXiv
Language(s) : Undetermined

Two-coverings of Jacobians of curves of genus two

Author(s) : Flynn, E. Victor , Testa, Damiano , van Luijk, Ronald
Description : We find explicit equations for two-coverings of Jacobians of genus two curves over an arbitrary ground field of characteristic different from two. , Comment: 36 pages
Repository : arXiv
Language(s) : Undetermined

Replication of the association of the COG6 gene with juvenile idiopathic arthritis (JIA)

Author(s) : Hinks A , Cobb J , Martin P , Flynn E , Eyre S , Packham J
Description :
Repository : DOAJ-Articles
Language(s) : English

The Brauer-Manin Obstruction and Sha[2].

Author(s) : Bright, M.J. , Bruin, N. , Flynn, E. V. , Logan, A.
Description : We discuss the Brauer-Manin obstruction on del Pezzo surfaces of degree 4. We outline a detailed algorithm for computing the obstruction and provide associated programs in magma. This is illustrated with the computation of an example with an irreducible cubic factor in the singular locus of the defi...
Repository : Oxford University Research Archive (ORA)
Language(s) : Undetermined

On finiteness conjectures for modular quaternion algebras

Author(s) : Bruin, N. , Flynn, E. V. , González, J. , Rotger, V.
Description : It is conjectured that there exist only finitely many isomorphism classes of endomorphism algebras of abelian varieties of bounded dimension over a number field of bounded degree. We explore this conjecture when restricted to quaternion endomorphism algebras of abelian surfaces of GL$_2$-type over Q...
Repository : Oxford University Research Archive (ORA)
Language(s) : Undetermined

On finiteness conjectures for modular quaternion algebras

Author(s) : Bruin, N. , Flynn, E. V. , González, J. , Rotger, V.
Description : It is conjectured that there exist only finitely many isomorphism classes of endomorphism algebras of abelian varieties of bounded dimension over a number field of bounded degree. We explore this conjecture when restricted to quaternion endomorphism algebras of abelian surfaces of GL$_2$-type over Q...
Repository : Oxford University Research Archive (ORA)
Language(s) : Undetermined
<< < 4 5 6 7 8 > >>

Found 74 documents, displaying page 4 of 8