Results 1 to 10 of about 1,080 (80)
Morphisms of Projective Varieties from the viewpoint of Minimal Model Theory [PDF]
, 2002 In this Lecture Notes we present, in a sufficiently self contained way, our contributions and interests in the field of Minimal Model Theory. We study Fano-Mori spaces, both from the biregular and the birational point of view.
Andreatta, M., Mella, M.
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Basepoint freeness for nef and big line bundles in positive characteristic [PDF]
, 1998 A necessary and sufficient condition is given for semi-ampleness of a numerically effective (nef) and big line bundle in positive characteristic. One application is to the geometry of the universal stable curve over M_g, specifically, the semi-ampleness ...
Keel, Seán
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On the log minimal model program for threefolds over imperfect fields of characteristic p>5$p>5$
Journal of the London Mathematical Society, 2022 We prove that many of the results of the log minimal model program hold for threefolds over fields of characteristic p>5$p>5$ which are not necessarily perfect.
Omprokash Das, J. Waldron
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Higher-dimensional foliated Mori theory [PDF]
Compositio Mathematica, 2017 We develop some foundational results in a higher-dimensional foliated Mori theory, and show how these results can be used to prove a structure theorem for the Kleiman–Mori cone of curves in terms of the numerical properties of $K_{{\mathcal{F}}}$ for ...
Calum Spicer
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The Minimal Model Program revisited [PDF]
, 2012 We give a light introduction to some recent developments in Mori theory, and to our recent direct proof of the finite generation of the canonical ring.
Paolo Cascini, Vladimir Lazi'c
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Log minimal model program for the moduli space of stable curves: The first flip [PDF]
, 2008 We give a geometric invariant theory (GIT) construction of the log canonical model $\bar M_g(\alpha)$ of the pairs $(\bar M_g, \alpha \delta)$ for $\alpha \in (7/10 - \epsilon, 7/10]$ for small $\epsilon \in \mathbb Q_+$. We show that $\bar M_g(7/10)$ is
B. Hassett, Donghoon Hyeon
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Introduction to the Minimal Model Program and the existence of flips [PDF]
, 2008 The first aim of this note is to give a concise, but complete and self‐contained, presentation of the fundamental theorems of Mori theory (the non‐vanishing, base point free, rationality and cone theorems) using modern methods of multiplier ideals, Nadel
A. Corti +2 more
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Intersection Numbers of Extremal Rays on Holomorphic Symplectic Varieties [PDF]
, 2009 Suppose X is a smooth projective complex variety. Let N1(X, Z) ⊂ H2(X, Z) and N 1 (X, Z) ⊂ H 2 (X, Z) denote the group of curve classes modulo homological equivalence and the Neron-Severi group respec- tively.
B. Hassett, Y. Tschinkel
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Del Pezzo surfaces and Mori fiber spaces in positive characteristic [PDF]
Transactions of the American Mathematical Society, 2018 We settle a question that originates from results and remarks by Koll\'ar on extremal ray in the minimal model program: In positive characteristics, there are no Mori fibrations on threefolds with only terminal singularities whose generic fibers are ...
Andrea Fanelli, Stefan Schroer
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The European Physical Journal C, 2022 This paper presents an analysis at next-to-next-to-leading order in the theory of quantum chromodynamics for the determination of a new set of proton parton distribution functions using diverse measurements in pp collisions at s=7\documentclass[12pt ...
G. Aad +499 more
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