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New Trends in Algebraic Geometry: Mordell–Weil lattices for higher genus fibration over a curve

, 1999
Introduction, notation Let K = k(C) be the function field of an algebraic curve C over an algebraically closed ground field k. Let Γ/K be a smooth projective curve of genus g > 0 with a k -rational point O ∈ Γ(K), and let J/K denote the Jacobian variety ...
T. Shioda
semanticscholar   +1 more source

Historical Ramblings in Algebraic Geometry and Related Algebra

, 1976
We associate different catchwords with these divisions: function theory: function, integral; geometry: curve, surface, variety; high-school algebra: polynomial, power series; college algebra: ring, field, ideal; university algebra: functor.
S. Abhyankar
semanticscholar   +1 more source

Periods of Integrals on Algebraic Manifolds, I. (Construction and Properties of the Modular Varieties)

, 1968
I. 0. Introduction. (a) The general problem we have in mind is to investigate the periods of integrals on an algebraic variety V defined over a function field 5. In practice, this will mean that we are given an algebraic family of algebraic varieties {Vt}
P. Griffiths
semanticscholar   +1 more source

The Hilbert Function of a Reduced K‐Algebra

, 1983
Let A = © Ai be a graded fc-algebra of finite type (where k is a field, Ao = k and i Ss 0 A is generated as a /c-algebra by Ax). Such algebras have been called standard G-algebras by Stanley [7].
A. Geramita, P. Maroscia, L. Roberts
semanticscholar   +1 more source

Female erectile tissues and sexual dysfunction after pelvic radiotherapy: A scoping review

Ca-A Cancer Journal for Clinicians, 2022
Deborah C Marshall   +2 more
exaly  

Nearby motivic sheaves of weighted equivariant functions

Inventiones Mathematicae, 2022
F. Ivorra, J. Sebag
semanticscholar   +1 more source

The zeta function of a cubic surface over a finite field

Mathematical Proceedings of the Cambridge Philosophical Society, 1967
H. Swinnerton-Dyer
semanticscholar   +1 more source

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