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pro vyhledávání: '"Hu, Jianxun"'
We estimate an upper bound of the spectral radius of a linear operator on the quantum cohomology of the toric Fano manifolds $\mathbb{P}_{\mathbb{P}^{n}}(\mathcal{O}\oplus\mathcal{O}(3))$. This provides a negative answer to Galkin's lower bound conje
Externí odkaz:
http://arxiv.org/abs/2405.16987
We investigate Gamma conjecture I and its underlying Conjecture $\mathcal{O}$ for the $\mathbb{P}^1$-bundles $X_n=\mathbb{P}_{\mathbb{P}^{n}}(\mathcal{O}\oplus\mathcal{O}(n))$ with $n\ge 3$. We show that Conjecture $\mathcal{O}$ does not hold if $n$
Externí odkaz:
http://arxiv.org/abs/2405.16979
By using pseudo-differential operators containing two derivations, we extend the Kadomtsev-Petviashvili (KP) hierarchy to a certain KP-mKP hierarchy. For the KP-mKP hierarchy, we obtain its B\"{a}cklund transformations, bilinear equations of Baker-Ak
Externí odkaz:
http://arxiv.org/abs/2311.07341
Publikováno v:
In Physica D: Nonlinear Phenomena July 2023 449
Gamma conjecture I and the underlying Conjecture $\mathcal{O}$ for Fano manifolds were proposed by Galkin, Golyshev and Iritani recently. We show that both conjectures hold for all two-dimensional Fano manifolds. We prove Conjecture $\mathcal{O}$ by
Externí odkaz:
http://arxiv.org/abs/1901.01748
Akademický článek
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Let $\sf X$ be a symplectic orbifold groupoid with $\sf S$ being a symplectic sub-orbifold groupoid, and $\sf X_{\mathfrak a}$ be the weight-$\mathfrak a$ blowup of $\sf X$ along $\sf S$ with $\sf Z$ being the corresponding exceptional divisor. We sh
Externí odkaz:
http://arxiv.org/abs/1712.01478
Autor:
Ding, Yanqiao, Hu, Jianxun
Using the degeneration technique, one studies the behavior of Welschinger invariants under the blow-up, and obtains some blow-up formulae of Welschinger invariants. One also analyses the variation of Welschinger invariants when replacing a pair of re
Externí odkaz:
http://arxiv.org/abs/1609.05655
Publikováno v:
In Advances in Mathematics 6 August 2021 386