Minimal model program mori theory, extremal rays

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INTRODUCTION TO THE TORIC MORI THEORY [PDF]

, 2003
The main purpose of this paper is to give a simple and non-combinatorial proof of the toric Mori theory. Here, the toric Mori theory means the (log) Minimal Model Program (MMP, for short) for toric varieties.
O. Fujino, H. Sato
semanticscholar +1 more source

Measurements of the Higgs boson inclusive and differential fiducial cross-sections in the diphoton decay channel with pp collisions at s\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepac

Journal of High Energy Physics, 2022
A measurement of inclusive and differential fiducial cross-sections for the production of the Higgs boson decaying into two photons is performed using 139 fb−1 of proton-proton collision data recorded at s\documentclass[12pt]{minimal} \usepackage{amsmath}
G. Aad +499 more
semanticscholar +1 more source

Circuits in extended formulations [PDF]

Discrete Optimization, 2022
Circuits and extended formulations are classical concepts in linear programming theory. The circuits of a polyhedron are the elementary difference vectors between feasible points and include all edge directions.
Steffen Borgwardt, Matthias Brugger
semanticscholar +1 more source

Singularities of general fibers and the LMMP [PDF]

American Journal of Mathematics, 2017
:We use the theory of foliations to study the relative canonical divisor of a normalized inseparable base-change. Our main technical theorem states that it is linearly equivalent to a divisor with positive integer coefficients divisible by $p-1$.
Z. Patakfalvi, J. Waldron
semanticscholar +1 more source

Around and beyond the canonical class [PDF]

, 2012
This survey is an invitation to recent developments in higher dimensional birational geometry.Comment: to appear in "Birational geometry, rational curves, and arithmetic, Simons Symposium Proceedings", Springer ...
Lazić, Vladimir
core +1 more source

Towards Mori’s program for the moduli space of stable maps [PDF]

, 2009
We introduce and compute the class of a number of effective divisors on the moduli space of stable maps $\overline{{\scr M}}_{0,0}({\Bbb P}^{r}, d)$, which, for small $d$, provide a good understanding of the extremal rays and the stable base locus ...
Dawei Chen, Izzet Coskun
semanticscholar +1 more source

Semi-group structure of all endomorphisms of a projective variety admitting a polarized endomorphism [PDF]

, 2018
Let $X$ be a projective variety admitting a polarized (or more generally, int-amplified) endomorphism. We show: there are only finitely many contractible extremal rays; and when $X$ is $\mathbb{Q}$-factorial normal, every minimal model program is ...
Sheng Meng, De-Qi Zhang
semanticscholar +1 more source

Trisecant flops, their associated K3 surfaces and the rationality of some cubic fourfolds [PDF]

Journal of the European Mathematical Society (Print), 2019
We provide a new construction of rationality for cubic fourfolds via Mori's theory and the minimal model program. As an application, we present the solution of the Kuznetsov's conjecture for $d=42$ (the first open case). Our methods also show an explicit
F. Russo, Giovanni Staglianò
semanticscholar +1 more source

Measurements of W+W−+ ≥ 1 jet production cross-sections in pp collisions at s\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{docu

Journal of High Energy Physics, 2021
Fiducial and differential cross-section measurements of W+W− production in association with at least one hadronic jet are presented. These measurements are sensitive to the properties of electroweak-boson self-interactions and provide a test of ...
G. Aad +499 more
semanticscholar +1 more source

Minimal model theory for log surfaces [PDF]

, 2011
We discuss the log minimal model theory for log surfaces. We show that the log minimal model program, the finite generation of log canonical rings, and the log abundance theorem for log surfaces hold true under assumptions weaker than the usual framework
Fujino, Osamu
core +3 more sources

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