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New Trends in Algebraic Geometry: Mordell–Weil lattices for higher genus fibration over a curve
, 1999Introduction, 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
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Historical Ramblings in Algebraic Geometry and Related Algebra
, 1976We 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
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, 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
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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
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The Hilbert Function of a Reduced K‐Algebra
, 1983Let 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
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Every rationally connected variety over the function field of a curve has a rational point
, 2003A. J. D. Jong, Jason Starr
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Female erectile tissues and sexual dysfunction after pelvic radiotherapy: A scoping review
Ca-A Cancer Journal for Clinicians, 2022Deborah C Marshall+2 more
exaly
Nearby motivic sheaves of weighted equivariant functions
Inventiones Mathematicae, 2022F. Ivorra, J. Sebag
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The zeta function of a cubic surface over a finite field
Mathematical Proceedings of the Cambridge Philosophical Society, 1967H. Swinnerton-Dyer
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Torsion algebraic cycles, $K_2$, and Brauer groups of function fields
, 1974B. Bloch
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