Effectivity of Arakelov divisors and the theta divisor of a number field
From MaRDI portal
Publication:5941739
DOI10.1007/PL00001393zbMath1030.11063arXivmath/9802121OpenAlexW2016838977WikidataQ60638158 ScholiaQ60638158MaRDI QIDQ5941739
René Schoof, Gerard van der Geer
Publication date: 26 August 2001
Published in: Selecta Mathematica. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/9802121
Arithmetic theory of algebraic function fields (11R58) Zeta functions and (L)-functions of number fields (11R42) Arithmetic varieties and schemes; Arakelov theory; heights (14G40)
Related Items
Counting algebraic points of bounded height on projective spaces, Upper bounds for Euclidean minima of algebraic number fields, Blueprints -- towards absolute arithmetic?, The size function for imaginary cyclic sextic fields, On the theta functional of Weil representations for symplectic loop groups, Riemann-Roch for \(\overline{\operatorname{Spec}\mathbb{Z}}\), On the irreducibility of the two variable zeta-function for curves over finite fields., Computing dimensions of spaces of Arakelov divisors of number fields, Maximal order codes over number fields, Actions of Galois groups on invariants of number fields, Harder-Narasimhan theory for linear codes (with an appendix on Riemann-Roch theory), The size function for quadratic extensions of complex quadratic fields, Euclidean lattices, theta invariants, and thermodynamic formalism, The size function \(h^0\) for quadratic number fields, An arithmetic analogue of Clifford's theorem, Theta lifting for loop groups, The size function for cyclic cubic fields, On a two-variable zeta function for number fields.