On projective manifolds with pseudo-effective tangent bundle

G Hosono, M Iwai, S Matsumura - … of the Institute of Mathematics of …, 2022 - cambridge.org
In this paper, we develop the theory of singular Hermitian metrics on vector bundles. As an
application, we give a structure theorem of a projective manifold X with pseudo-effective …

Examples of Fano manifolds with non‐pseudoeffective tangent bundle

A Höring, J Liu, F Shao - Journal of the London Mathematical …, 2022 - Wiley Online Library
Let XX be a Fano manifold. While the properties of the anticanonical divisor− KX -K_X and
its multiples have been studied by many authors, the positivity of the tangent bundle TX T_X …

Maximal disjoint Schubert cycles in rational homogeneous varieties

R Muñoz, G Occhetta… - Mathematische …, 2024 - Wiley Online Library
In this paper, we study properties of the Chow ring of rational homogeneous varieties of
classical type, more concretely, effective zero divisors of low codimension, and a related …

[PDF][PDF] Fano 5-folds with nef tangent bundles

A Kanemitsu - arXiv preprint arXiv:1503.04579, 2015 - arxiv.org
arXiv:1503.04579v1 [math.AG] 16 Mar 2015 Page 1 arXiv:1503.04579v1 [math.AG] 16 Mar
2015 FANO 5-FOLDS WITH NEF TANGENT BUNDLES AKIHIRO KANEMITSU Abstract. We …

[HTML][HTML] Rational homogeneous spaces as geometric realizations of birational transformations

G Occhetta, EA Romano, LES Conde… - Rendiconti del Circolo …, 2023 - Springer
Rational homogeneous spaces as geometric realizations of birational transformations |
Rendiconti del Circolo Matematico di Palermo Series 2 Skip to main content SpringerLink …

Residue formula for flag manifold of type from wall-crossing

R Ohkawa - arXiv preprint arXiv:2309.01401, 2023 - arxiv.org
We consider equivariant integrals on flag manifolds of type $ A $. Using a computational
method inspired by the theory of wall-crossing formulas by Takuro Mochizuki, we re-prove …

[PDF][PDF] Hodge-theoretic variants of the Hopf and Singer Conjectures

D Arapura, L Maxim, B Wang - arXiv preprint arXiv:2310.14131, 2023 - arxiv.org
arXiv:2310.14131v1 [math.AG] 21 Oct 2023 Page 1 arXiv:2310.14131v1 [math.AG] 21 Oct 2023
HODGE-THEORETIC VARIANTS OF THE HOPF AND SINGER CONJECTURES DONU …

Projective manifolds whose tangent bundle is Ulrich

V Benedetti, P Montero, Y Prieto–Montañez… - Journal of Algebra, 2023 - Elsevier
In this article, we give numerical restrictions on the Chern classes of Ulrich bundles on
higher-dimensional manifolds, which are inspired by the results of Casnati in the case of …

Bigness of tangent bundles and dynamical rigidity of Fano manifolds of Picard number 1 (with an appendix by Jie Liu)

F Shao, G Zhong - Mathematische Annalen, 2024 - Springer
Abstract Let f: X→ Y be a surjective morphism of Fano manifolds of Picard number 1 whose
VMRTs at a general point are not dual defective. Suppose that the tangent bundle TX is big …

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
Mathematica Skip to main content SpringerLink Account Menu Find a journal Publish with us …