Zobrazeno 1 - 10
of 43
pro vyhledávání: '"Gianluca Occhetta"'
Publikováno v:
Journal of Algebraic Geometry. 32:1-57
In this paper we study smooth projective varieties and polarized pairs with an action of a one dimensional complex torus. As a main tool, we define birational geometric counterparts of these actions, that, under certain assumptions, encode the inform
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a8c37916f536f1d05e7f78df6f9c0cac
https://doi.org/10.1090/jag/808
https://doi.org/10.1090/jag/808
Publikováno v:
Proceedings of the American Mathematical Society. 150:1381-1395
In this paper we classify varieties of Picard number two having two projective bundle structures of any relative dimension, under the assumption that these structures are mutually uniform. As an application we prove the Campana--Peternell conjecture
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::acd09b159357b35b8635f86e8cefcbe1
https://doi.org/10.1090/proc/15762
https://doi.org/10.1090/proc/15762
Publikováno v:
Transformation Groups. 27:189-223
In this paper we study the existence of sections of universal bundles on rational homogeneous varieties -- called nestings -- classifying them completely in the case in which the Lie algebra of the automorphism group of the variety is simple of class
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::560b9ebd3a024df8db756f1a74fdb64e
https://doi.org/10.1007/s00031-020-09597-x
https://doi.org/10.1007/s00031-020-09597-x
We link small modifications of projective varieties with a ${\mathbb C}^*$-action to their GIT quotients. Namely, using flips with centers in closures of Bia{\l}ynicki-Birula cells, we produce a system of birational equivariant modifications of the o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1217a0ae9681c85aa4136605944095a1
http://arxiv.org/abs/2103.07209
http://arxiv.org/abs/2103.07209
Publikováno v:
Selecta Mathematica. 27
We prove LeBrun--Salamon conjecture in the following situation: if $X$ is a contact Fano manifold of dimension $2n+1$ whose group of automorphisms is reductive of rank $\geq \max(2,(n-3)/2)$ then $X$ is the adjoint variety of a simple group. The rank
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2bc70a52a2a1cb85f75a783135764231
https://doi.org/10.1007/s00029-021-00621-w
https://doi.org/10.1007/s00029-021-00621-w
As a natural extension of the theory of uniform vector bundles on Fano manifolds, we consider uniform principal bundles, and study them by means of the associated flag bundles, as their natural projective geometric realizations. In this paper, we dev
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7da5030e7972ccf229dd351aa9479922
https://projecteuclid.org/journals/kyoto-journal-of-mathematics/volume-61/issue-4/On-uniform-flag-bundles-on-Fano-manifolds/10.1215/21562261-2021-0016.short
https://projecteuclid.org/journals/kyoto-journal-of-mathematics/volume-61/issue-4/On-uniform-flag-bundles-on-Fano-manifolds/10.1215/21562261-2021-0016.short
Publikováno v:
Mathematische Nachrichten. 291:2334-2346
In this paper we consider the 15‐dimensional rational homogeneous variety of Picard number one F4(4), and provide a characterization of it in terms of its variety of minimal rational tangents.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::97ca3bdc7de36d8fbe8ef65cb0fb0199
https://doi.org/10.1002/mana.201700261
https://doi.org/10.1002/mana.201700261
Autor:
Luis E. Solá Conde, Gianluca Occhetta
In the framework of the problem of characterizing complete flag manifolds by their contractions, the complete flags of type $F_4$ and $G_2$ satisfy the property that any possible tower of Bott-Samelson varieties dominating them birationally deforms i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::85e14347bc7524d85672ff304165a529
http://arxiv.org/abs/1804.05702
http://arxiv.org/abs/1804.05702
Publikováno v:
Mathematische Zeitschrift. 292:569-570
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cfb0cb7f250c57d5e43258e66a2e09f9
https://doi.org/10.1007/s00209-019-02230-y
https://doi.org/10.1007/s00209-019-02230-y
We present here some conjectures on the diagonalizability of uniform principal bundles on rational homogeneous spaces, that are natural extensions of classical theorems on uniform vector bundles on the projective space, and study the validity of thes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e2b11555ce3eee9d13282cf31d677d0