Explicit Arithmetic on Abelian Varieties

DOI10.1007/978-3-319-97379-1_15zbMath1475.14087OpenAlexW2891600716MaRDI QIDQ5014830

Pramathanath Sastry, V. Kumar Murty

Publication date: 8 December 2021

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-97379-1_15

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Computational aspects of higher-dimensional varieties (14Q15) Number-theoretic algorithms; complexity (11Y16) Abelian varieties of dimension (> 1) (11G10) Parametrization (Chow and Hilbert schemes) (14C05) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Divisors, linear systems, invertible sheaves (14C20) Algebraic theory of abelian varieties (14K05)

Related Items (1)

Continuous CM-regularity and generic vanishing. With an appendix by Atsushi Ito (Okayama University)

Cites Work

• The existence of an abelian variety over \(\overline{\mathbb{Q}}\) isogenous to no Jacobian
• Towards quantum-resistant cryptosystems from supersingular elliptic curve isogenies
• On the equations defining Abelian varieties. I-III
• Linear algebra algorithms for divisors on an algebraic curve
• Lectures on Curves on an Algebraic Surface. (AM-59)
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