Publications related to Nef line bundle

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Conditional Flatness, Fiberwise Localizations, And Admissible Reflections

Jérôme Scherer

We extend the group-theoretic notion of conditional flatness for a localization functor to any pointed category, and investigate it in the context of homological categories and of semi-abelian categories. In the presence of functorial fiberwise localizatio ...

CAMBRIDGE UNIV PRESS2023

On rationally connected varieties over C1 fields of characteristic 0

Marta Pieropan

We use birational geometry to show that the existence of rational points on proper rationally connected varieties over fields of characteristic 0 is a consequence of the existence of rational points on terminal Fano varieties. We discuss several consequenc ...

MATHEMATICAL SCIENCE PUBL2022

Vanishing theorems in positive characteristic

Emelie Kerstin Arvidsson

The topic of this thesis is vanishing theorems in positive characteristic. In particular, we use "the covering trick of Ekedahl" to investigate the vanishing of

H^1(X, \mathcal{O}_X(-D))

for a big and nef Weil divisor

D

on a normal projective variety w ...

EPFL2021

Positivity of the CM line bundle for families of K-stable klt Fano varieties

Zsolt Patakfalvi, Giulio Codogni

The Chow-Mumford (CM) line bundle is a functorial line bundle on the base of any family of klt Fano varieties. It is conjectured that it yields a polarization on the moduli space of K-poly-stable klt Fano varieties. Proving ampleness of the CM line bundle ...

SPRINGER HEIDELBERG2020

Convex Combination of Diffusion Strategies Over Networks

Ali H. Sayed, Jie Chen

Combining diffusion strategies with complementary properties enables enhanced performance when they can be run simultaneously. In this article, we first propose two schemes for the convex combination of two diffusion strategies, namely, the power-normalize ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2020

Fundamental Group And Pluridifferentials On Compact Kahler Manifolds

Yohan Cédric Loup Brunebarbe

A compact Kahler manifold X is shown to be simply connected if its 'symmetric cotangent algebra' is trivial. Conjecturally, such a manifold should even be rationally connected. The relative version is also shown: a proper surjective connected holomorphic m ...

Independent Univ Moscow-Ium2016

Balanced metrics on vector bundles and polarized manifolds

Mario Garcia Fernandez

We consider a notion of balanced metrics for triples (X, L, E) which depend on a parameter alpha, where X is a smooth complex manifold with an ample line bundle L and E is a holomorphic vector bundle over X. For generic choice of alpha, we prove that the l ...

Oxford University Press2013

Equidistribution of Heegner points and ternary quadratic forms

Dimitar Petkov Jetchev

We prove new equidistribution results for Galois orbits of Heegner points with respect to single reduction maps at inert primes. The arguments are based on two different techniques: primitive representations of integers by quadratic forms and distribution ...

Springer Verlag2011

Vanishing theorems in positive characteristic

Emelie Kerstin Arvidsson

The topic of this thesis is vanishing theorems in positive characteristic. In particular, we use "the covering trick of Ekedahl" to investigate the vanishing of

H^1(X, \mathcal{O}_X(-D))

for a big and nef Weil divisor

D

on a normal projective variety w ...

EPFL2021

Nef line bundle

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The Nonvanishing Problem for varieties with nef anticanonical bundle

Conditional Flatness, Fiberwise Localizations, And Admissible Reflections

On rationally connected varieties over C1 fields of characteristic 0

Vanishing theorems in positive characteristic

Positivity of the CM line bundle for families of K-stable klt Fano varieties

Convex Combination of Diffusion Strategies Over Networks

THE LMMP FOR LOG CANONICAL 3-FOLDS IN CHARACTERISTIC p > 5

Fundamental Group And Pluridifferentials On Compact Kahler Manifolds

Balanced metrics on vector bundles and polarized manifolds

Equidistribution of Heegner points and ternary quadratic forms

On rationally connected varieties over C1 fields of characteristic 0

The Nonvanishing Problem for varieties with nef anticanonical bundle

Positivity of the CM line bundle for families of K-stable klt Fano varieties

Conditional Flatness, Fiberwise Localizations, And Admissible Reflections

Equidistribution of Heegner points and ternary quadratic forms

Vanishing theorems in positive characteristic

THE LMMP FOR LOG CANONICAL 3-FOLDS IN CHARACTERISTIC p > 5

Fundamental Group And Pluridifferentials On Compact Kahler Manifolds

Convex Combination of Diffusion Strategies Over Networks

Balanced metrics on vector bundles and polarized manifolds