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pro vyhledávání: '"weak fano"'
Autor:
Cutrone, Joseph, Marshburn, Nicholas
In this paper, an update on the classification of smooth weak Fano threefolds with Picard number two and small anti-canonical maps is given. Geometric constructions are provided for previously open numerical cases by blowing up certain curves on smoo
Externí odkaz:
http://arxiv.org/abs/2408.13097
Autor:
Sato, Kenta
In this paper, we give a partial affirmative answer to the BAB conjecture for $3$-folds in characteristic $p>5$. Specifically, we prove that a set $\mathcal{D}$ of weak Fano $3$-folds over an uncountable algebraically closed field is bounded, if each
Externí odkaz:
http://arxiv.org/abs/2403.02596
Autor:
Zhu, Minzhe
Given a natural number $l$ and a weak Fano $n$-fold $X$ with $\operatorname{dim}\overline{\varphi_{-lK_X}(X)}\geq n-1$, we study the lower bound of the anti-canonical volume and the upper bound of the anti-canonical stability index. The method can al
Externí odkaz:
http://arxiv.org/abs/2301.07462
Akademický článek
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We show that any asymptotically Calabi manifold which is Calabi-Yau can be compactified complex analytically to a weak Fano manifold. Furthermore, the Calabi-Yau structure arises from a generalized Tian-Yau construction on the compactification, and w
Externí odkaz:
http://arxiv.org/abs/2111.09287
We classify rank two vector bundles on a del Pezzo threefold $X$ of Picard rank one whose projectivizations are weak Fano. We also investigate the moduli spaces of such vector bundles when $X$ is of degree five, especially whether it is smooth, irred
Externí odkaz:
http://arxiv.org/abs/2105.10768
Autor:
Milanov, Todor, Roquefeuil, Alexis
Publikováno v:
Adv. in Math., vol. 409, Part B(2022)
For a smooth projective variety whose anti-canonical bundle is nef, we prove confluence of the small $K$-theoretic $J$-function, i.e., after rescaling appropriately the Novikov variables, the small $K$-theoretic $J$-function has a limit when $q\to 1$
Externí odkaz:
http://arxiv.org/abs/2108.08620
We classify rank two vector bundles on a given del Pezzo threefold of degree four whose projectivizations are weak Fano into seven cases. We also give an example for each of these seven cases.
Comment: 21 pages; minor typos corrected, exposition
Comment: 21 pages; minor typos corrected, exposition
Externí odkaz:
http://arxiv.org/abs/2004.03318
Regular semisimple Hessenberg varieties are smooth subvarieties of the flag variety, and their examples contain the flag variety itself and the permutohedral variety which is a toric variety. We give a complete classification of Fano and weak Fano re
Externí odkaz:
http://arxiv.org/abs/2003.12286
Autor:
Milanov, Todor, Roquefeuil, Alexis
Publikováno v:
In Advances in Mathematics 19 November 2022 409 Part B