Zobrazeno 1 - 10
of 77
pro vyhledávání: '"Gongyo, Yoshinori"'
Autor:
Gongyo, Yoshinori, Takayama, Shigeharu
We give a twisted version of the Kawamata semi-positivity theorem by the $\mathbb{Q}$-line bundle with a vanishing Lelong number at every point. Moreover, we apply the result for the finite generation problem of canonical rings for Birkar's generaliz
Externí odkaz:
http://arxiv.org/abs/2404.07401
Autor:
Gongyo, Yoshinori
We introduce some invariants of Fano varieties and propose a Mukai-type conjecture which characterizes the product of projective spaces. Moreover, we prove that the Ambro--Kawamata effective non-vanishing conjecture implies the Mukai-type conjecture.
Externí odkaz:
http://arxiv.org/abs/2306.08841
Autor:
Gongyo, Yoshinori, Moraga, Joaquín
In this article, we introduce the generalized complexity of a generalized Calabi--Yau pair $(X,B,\textbf{M})$. This invariant compares the dimension of $X$ and Picard rank of $X$ with the sum of the coefficients of $B$ and $\textbf{M}$. It generalize
Externí odkaz:
http://arxiv.org/abs/2301.08395
We discuss the ACC conjecture and the LSC conjecture for minimal log discrepancies of generalized pairs. We prove that some known results on these two conjectures for usual pairs are still valid for generalized pairs. We also discuss the theory of co
Externí odkaz:
http://arxiv.org/abs/2112.09501
Autor:
Choi, Sung Rak, Gongyo, Yoshinori
We discuss some variants of cone theorem for movable curves in any codimensions.
Comment: 16pages, 1 figure
Comment: 16pages, 1 figure
Externí odkaz:
http://arxiv.org/abs/2002.11071
Autor:
Gongyo, Yoshinori, Takagi, Shunsuke
We prove Koll\'ar's injectivity theorem for globally $F$-regular varieties.
Comment: 10 pages
Comment: 10 pages
Externí odkaz:
http://arxiv.org/abs/1802.07631
Autor:
Ejiri, Sho, Gongyo, Yoshinori
Publikováno v:
Compositio Math. 155 (2019) 1444-1456
We study the Iitaka-Kodaira dimension of nef relative anti-canonical divisors. As a consequence, we prove that given a complex projective variety with klt singularities, if the anti-canonical divisor is nef, then the dimension of a general fibre of t
Externí odkaz:
http://arxiv.org/abs/1802.03732
Akademický článek
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Autor:
Broustet, Amaël, Gongyo, Yoshinori
We discuss the Calabi--Yau type structure of normal projective surfaces and Mori dream spaces admitting a non-trivial polarized endomorphism.
Comment: 13 pages, Major revision, v3. remove serious and non serious mistakes, v4. minor modification,
Comment: 13 pages, Major revision, v3. remove serious and non serious mistakes, v4. minor modification,
Externí odkaz:
http://arxiv.org/abs/1607.01382
We prove the $W\mathcal{O}$-rationality of klt threefolds and the rational chain connectedness of klt Fano threefolds over a perfect field of characteristic $p>5$. As a consequence, any klt Fano threefold over a finite field has a rational point.
Externí odkaz:
http://arxiv.org/abs/1512.05003