Fano manifolds with big tangent bundle: a characterisation of

A Höring, J Liu - Collectanea Mathematica, 2023 - Springer
Fano manifolds with big tangent bundle: a characterisation of $$V_5$$ | Collectanea
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[PDF][PDF] Classification of 2-Fano manifolds with high index

C Araujo, AM Castravet - arXiv preprint arXiv:1206.1357, 2012 - arxiv.org
arXiv:1206.1357v1 [math.AG] 6 Jun 2012 Page 1 arXiv:1206.1357v1 [math.AG] 6 Jun 2012
CLASSIFICATION OF 2-FANO MANIFOLDS WITH HIGH INDEX CAROLINA ARAUJO AND …

[PDF][PDF] Lines, conics, and all that

C Ciliberto, M Zaidenberg - arXiv preprint arXiv:1910.11423, 2019 - arxiv.org
arXiv:1910.11423v3 [math.AG] 1 Jul 2020 Page 1 arXiv:1910.11423v3 [math.AG] 1 Jul 2020
LINES, CONICS, AND ALL THAT C. CILIBERTO, M. ZAIDENBERG To Bernard Shiffman on …

Fano manifolds whose elementary contractions are smooth -fibrations: A geometric characterization of flag varieties

G Occhetta, LES Conde, K Watanabe… - arXiv preprint arXiv …, 2014 - arxiv.org
The present paper provides a geometric characterization of complete flag varieties for
semisimple algebraic groups. Namely, if $ X $ is a Fano manifold whose all elementary …

Higher Fano manifolds

C Araujo, R Beheshti, AM Castravet… - arXiv preprint arXiv …, 2021 - arxiv.org
In this paper we address Fano manifolds with positive higher Chern characters. They are
expected to enjoy stronger versions of several of the nice properties of Fano manifolds. For …

Higher order minimal families of rational curves and Fano manifolds with nef Chern characters

T Suzuki - Journal of the Mathematical Society of Japan, 2021 - jstage.jst.go.jp
In this paper, we investigate higher order minimal families Hi of rational curves associated to
Fano manifolds X. We prove that Hi is also a Fano manifold if the Chern characters of X …

[HTML][HTML] On a sufficient condition for a Fano manifold to be covered by rational N-folds

T Nagaoka - Journal of Pure and Applied Algebra, 2019 - Elsevier
In this paper, we prove a conjecture by T. Suzuki, which says if a smooth Fano manifold
satisfies some positivity condition on its Chern characters, then it can be covered by rational …

Generalized L\" uroth problems, hierarchized I: SBNR--stably birationalized unramified sheaves and lower retract rationality

N Minami - arXiv preprint arXiv:2210.12225, 2022 - arxiv.org
This is the first of a series of papers, where we investigate hierarchies of generalized {L}\"{u}
roth problems on the hierarchy of rationality, starting with the obvious hierarchy between the …

Rational curves on and rational simple connectedness

A Fanelli, L Gruson, N Perrin - arXiv preprint arXiv:1901.06930, 2019 - arxiv.org
In this paper the notion of rational simple connectedness for the quintic Fano threefold $
V_5\subset\mathbb {P}^ 6$ is studied and unirationality of the moduli spaces $\overline {M} …

An introduction to rationally connected fibrations over curves and surfaces

A Fanelli - Rendiconti del Circolo Matematico di Palermo Series 2, 2023 - Springer
An introduction to rationally connected fibrations over curves and surfaces | Rendiconti del
Circolo Matematico di Palermo Series 2 Skip to main content SpringerLink Account Menu Find …