Hauteurs et mesures de Tamagawa sur les variétés de Fano
E Peyre - 1995 - projecteuclid.org
HAUTEURS ET MESURES DE TAMAGAWA SUR LES VARIÉTÉS DE FANO Page 1 Vol. 79,
No.1 DUKE MATHEMATICAL JOURNAL C© July 1995 HAUTEURS ET MESURES DE …
No.1 DUKE MATHEMATICAL JOURNAL C© July 1995 HAUTEURS ET MESURES DE …
[图书][B] Arnold's problems
VI Arnold - 2004 - Springer
The total number of such permutations is equal to (n—1)(«—2)/2. Some of them are rotations
(isomorphic to the addition of a constant to the residues modn). But it is not clear what …
(isomorphic to the addition of a constant to the residues modn). But it is not clear what …
Manin's conjecture for toric varieties
VV Batyrev, Y Tschinkel - arXiv preprint alg-geom/9510014, 1995 - arxiv.org
arXiv:alg-geom/9510014v1 26 Oct 1995 Page 1 arXiv:alg-geom/9510014v1 26 Oct 1995
Manin’s conjecture for toric varieties Victor V. Batyrev∗ Universität-GHS-Essen, Fachbereich …
Manin’s conjecture for toric varieties Victor V. Batyrev∗ Universität-GHS-Essen, Fachbereich …
A heuristic for boundedness of ranks of elliptic curves
We present a heuristic that suggests that ranks of elliptic curves E over Q are bounded. In
fact, it suggests that there are only finitely many E of rank greater than 21. Our heuristic is …
fact, it suggests that there are only finitely many E of rank greater than 21. Our heuristic is …
[PDF][PDF] Tamagawa measures on universal torsors and points of bounded height on Fano varieties
P Salberger - Astérisque, 1998 - numdam.org
Tamagawa measures on universal torsors and points of bounded height on Fano varieties
Page 1 Astérisque PER SALBERGER Tamagawa measures on universal torsors and points …
Page 1 Astérisque PER SALBERGER Tamagawa measures on universal torsors and points …
Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves
M Bhargava, A Shankar, T Taniguchi, F Thorne… - Journal of the American …, 2020 - ams.org
We prove the first known nontrivial bounds on the sizes of the 2-torsion subgroups of the
class groups of cubic and higher degree number fields $ K $(the trivial bound being $ O …
class groups of cubic and higher degree number fields $ K $(the trivial bound being $ O …
Tamagawa numbers of polarized algebraic varieties
VV Batyrev, Y Tschinkel - arXiv preprint alg-geom/9712002, 1997 - arxiv.org
Let ${\cal L}=(L,\|\cdot\| _v) $ be an ample metrized invertible sheaf on a smooth quasi-
projective algebraic variety $ V $ defined over a number field. Denote by $ N (V,{\cal L}, B) …
projective algebraic variety $ V $ defined over a number field. Denote by $ N (V,{\cal L}, B) …
On exceptional sets in Manin's conjecture
B Lehmann, S Tanimoto - Research in the Mathematical Sciences, 2019 - Springer
In this survey paper, we study Manin's conjecture from a geometric perspective. The focus of
the paper is the recent conjectural description of the exceptional set in Manin's conjecture …
the paper is the recent conjectural description of the exceptional set in Manin's conjecture …
An overview of Manin's conjecture for del Pezzo surfaces
TD Browning - arXiv preprint math/0511041, 2005 - arxiv.org
This paper surveys recent progress towards the Manin conjecture for (singular and non-
singular) del Pezzo surfaces. To illustrate some of the techniques available, an upper bound …
singular) del Pezzo surfaces. To illustrate some of the techniques available, an upper bound …
[PDF][PDF] On the distribution of points of bounded height on equivariant compactifications of vector groups
A Chambert-Loir, Y Tschinkel - arXiv preprint math/0005015, 2000 - arxiv.org
arXiv:math/0005015v2 [math.NT] 23 Apr 2001 Page 1 arXiv:math/0005015v2 [math.NT] 23 Apr
2001 ON THE DISTRIBUTION OF POINTS OF BOUNDED HEIGHT ON EQUIVARIANT …
2001 ON THE DISTRIBUTION OF POINTS OF BOUNDED HEIGHT ON EQUIVARIANT …