Positive geometries and canonical forms
A bstract Recent years have seen a surprising connection between the physics of scattering
amplitudes and a class of mathematical objects—the positive Grassmannian, positive loop …
amplitudes and a class of mathematical objects—the positive Grassmannian, positive loop …
Recent developments in toric geometry
DA Cox - arXiv preprint alg-geom/9606016, 1996 - arxiv.org
This paper will appear in the Proceedings of the 1995 Santa Cruz Summer Institute. The
paper is a survey of recent developments in the theory of toric varieties, including new …
paper is a survey of recent developments in the theory of toric varieties, including new …
Totally nonnegative Grassmannian and Grassmann polytopes
T Lam - arXiv preprint arXiv:1506.00603, 2015 - arxiv.org
These are lecture notes intended to supplement my second lecture at the Current
Developments in Mathematics conference in 2014. In the first half of article, we give an …
Developments in Mathematics conference in 2014. In the first half of article, we give an …
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 …
[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 …
Rational points on some Fano cubic bundles
VV Batyrev, Y Tschinkel - arXiv preprint alg-geom/9602013, 1996 - arxiv.org
We consider some families of smooth Fano hypersurfaces $ X_ {n+ 2} $ in ${\bf P}^{n+
2}\times {\bf P}^ 3$ given by a homogeneous polynomial of bidegree $(1, 3) $. For these …
2}\times {\bf P}^ 3$ given by a homogeneous polynomial of bidegree $(1, 3) $. For these …
[图书][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 …
Counting lattice points
A Gorodnik, A Nevo - Journal für die reine und angewandte …, 2012 - degruyter.com
For a locally compact second countable group G and a lattice subgroup Γ, we give an
explicit quantitative solution of the lattice point counting problem in general domains in G …
explicit quantitative solution of the lattice point counting problem in general domains in G …
Singular del Pezzo surfaces whose universal torsors are hypersurfaces
U Derenthal - Proceedings of the London Mathematical Society, 2014 - Wiley Online Library
We classify all generalized del Pezzo surfaces (that is, minimal desingularizations of
singular del Pezzo surfaces containing only rational double points) whose universal torsors …
singular del Pezzo surfaces containing only rational double points) whose universal torsors …
Evaporation of light particles from a hot, deformed and rotating nucleus
K Pomorski, J Bartel, J Richert, K Dietrich - Nuclear Physics A, 1996 - Elsevier
The dependence of the transimission coefficient on the deformation, the collective rotation
and excitation energy of the compound nucleus emitting light particles is introduced in the …
and excitation energy of the compound nucleus emitting light particles is introduced in the …