Keywords: primary; 37P55; secondary; 11G10; 11R70; Reduction maps; Abelian varieties; K-theory groups;
مقالات ISI (ترجمه نشده)
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Keywords: 33C05; 11G10; 11F80Abelian varieties; Hypergeometric functions; Galois representations; Triangle groups; Counting points over finite fields; Shimura curves
Keywords: 11G10; 11G05; 11G30; 11G35Jacobian; Mordell–Weil group; Automorphism
Keywords: 11G10; 11G15Abelian varieties; Cyclicity
Varieties of sums of powers and moduli spaces of(1, 7)-polarized abelian surfaces
Keywords: primary; 11G10; 11G15; 14K10; secondary; 14E05; 14E08; 14M20; Moduli of abelian surfaces; Varieties of sums of powers; Rationality problems; Rational; Unirational and rationally connected varieties;
Arbitrarily large Tate-Shafarevich group on Abelian surfaces
Keywords: primary; 11G30; secondary; 11G10; 14H40; Tate-Shafarevich Group; Abelian Surface;
An improvement to the Hasse-Weil bound and applications to character sums, cryptography and coding
Keywords: 11G20; 11G10; 11T23; 94B05; Points; Algebraic curves; Abelian varities; Zeta function; Character sum; Codes; Nonlinearity;
On the local-global divisibility of torsion points on elliptic curves and GL2-type varieties
Keywords: 11R34; 11G05; 11G10; Galois cohomology; Local-global; Elliptic curves; GL2-type varieties; Quaternionic multiplication;
On the order of CM abelian varieties over finite prime fields
Keywords: 11G10; 11N05; 14K22; 20G40; Abelian varieties over finite fields; Torsion points of abelian varieties; Galois representations; General symplectic group over a finite field; Complex multiplication;
Ogus realization of 1-motives
Keywords: 14F30; 14F40; 14L05; 11G10; Motives; Ogus conjecture; de Rham cohomology;
Descent via (5,5)-isogeny on Jacobians of genus 2 curves
Keywords: primary; 11G30; secondary; 11G10; 14H40; Higher genus curves; Jacobians; Tate-Shafarevich group;
On the order of abelian varieties with trivial endomorphism ring reduced modulo a prime
Keywords: 20G40; 11G10; General symplectic group; Abelian varieties over finite fields; Torsion points of abelian varieties;
On the PSL2(F19)-invariant cubic sevenfold
Keywords: 11G10; 14J50; 14J70; Cubic sevenfold; Automorphism group; Intermediate Jacobian;
On a generalization of Deuringʼs results
Keywords: 11G10; 11G20; 11G30; 14F30; 14G50; 14H40Complex multiplication; A maximal curve over a finite field
Examples of non-simple abelian surfaces over the rationals with non-square order Tate–Shafarevich group
Keywords: 11G10; 11G07; 11G35Abelian surface; Tate–Shafarevich group; Cassels–Tate equation
Superspecial abelian varieties over finite prime fields
Keywords: 14K10; 11G10; 14G15; 11E41;
The rank of the Cartier operator on cyclic covers of the projective line
Keywords: primary; 14H40; secondary; 11G10; Kummer covers; Hyperelliptic curves; Cartier operator; a-number;