Birationally rigid Fano varieties
IA Cheltsov - Russian Mathematical Surveys, 2005 - iopscience.iop.org
The birational superrigidity and, in particular, the non-rationality of a smooth three-
dimensional quartic was proved by V. Iskovskikh and Yu. Manin in 1971, and this led …
dimensional quartic was proved by V. Iskovskikh and Yu. Manin in 1971, and this led …
Density of rational points on elliptic K3 surfaces
F Bogomolov, Y Tschinkel - arxiv preprint math/9902092, 1999 - arxiv.org
arxiv:math/9902092v1 [math.AG] 15 Feb 1999 Page 1 arxiv:math/9902092v1 [math.AG] 15 Feb
1999 Density of rational points on elliptic K3 surfaces FA Bogomolov Courant Institute of …
1999 Density of rational points on elliptic K3 surfaces FA Bogomolov Courant Institute of …
[ΒΙΒΛΙΟ][B] Introduction to modern number theory
YI Manin, AA Panchishkin - 2005 - Springer
The present book is a new revised and updated version of “Number Theory I. Introduction to
Number Theory” by Yu. I. Manin and AA Panchishkin, appeared in 1989 in Moscow (VINITI …
Number Theory” by Yu. I. Manin and AA Panchishkin, appeared in 1989 in Moscow (VINITI …
[ΒΙΒΛΙΟ][B] Birationally rigid Fano threefold hypersurfaces
I Cheltsov, J Park - 2017 - ams.org
Birationally Rigid Fano Threefold Hypersurfaces Page 1 MEMOIRS of the American
Mathematical Society Volume 246 • Number 1167 (sixth of 6 numbers) • March 2017 Birationally …
Mathematical Society Volume 246 • Number 1167 (sixth of 6 numbers) • March 2017 Birationally …
Balanced line bundles and equivariant compactifications of homogeneous spaces
Manin's conjecture predicts an asymptotic formula for the number of rational points of
bounded height on a smooth projective variety X in terms of global geometric invariants of X …
bounded height on a smooth projective variety X in terms of global geometric invariants of X …
Rational points on quartics
J Harris, Y Tschinkel - 2000 - projecteuclid.org
(While the name “weak Lang conjecture” has become standard usage—in part to distinguish
it from the “strong Lang conjecture” below—we should point out that as stated here it was …
it from the “strong Lang conjecture” below—we should point out that as stated here it was …
Sur la dynamique du groupe d'automorphismes des surfaces K3
S Cantat - Transformation groups, 2001 - Springer
We study the dynamics of the automorphisms group of K3 surfaces. Assuming that the
surface contains two elliptic fibrations that are invariant by non-periodic automorphisms, we …
surface contains two elliptic fibrations that are invariant by non-periodic automorphisms, we …
Abelian fibrations and rational points on symmetric products
B Hassett, Y Tschinkel - International Journal of Mathematics, 2000 - World Scientific
Given a variety over a number field, are its rational points potentially dense, ie does there
exist a finite extension over which rational points are Zariski dense? We study the question …
exist a finite extension over which rational points are Zariski dense? We study the question …
Algebraic varieties with many rational points
Y Tschinkel - Arithmetic geometry, 2009 - books.google.com
We survey rational points on higher-dimensional algebraic varieties, addressing questions
about existence, density, and distribution with respect to heights. Key examples for existence …
about existence, density, and distribution with respect to heights. Key examples for existence …
The Weakly Special Conjecture contradicts orbifold Mordell, and thus abc
F Bartsch, F Campana, A Javanpeykar… - arxiv preprint arxiv …, 2024 - arxiv.org
Starting from an Enriques surface over $\mathbb {Q}(t) $ considered by Lafon, we give the
first examples of smooth projective weakly special threefolds which fiber over the projective …
first examples of smooth projective weakly special threefolds which fiber over the projective …